＂The Sun Rising＂ is one of the most outstanding metaphysical poems of John Donne. After a general introduction about the metaphysical poetry and the author, this paper mainly aims to analyze the arresting and origin...＂The Sun Rising＂ is one of the most outstanding metaphysical poems of John Donne. After a general introduction about the metaphysical poetry and the author, this paper mainly aims to analyze the arresting and original conceits and images used in ＂The Sun Rising＂ and comment on their effect on expressing the author＇s feeling and reflecting his emotions.展开更多
Thinking about the problem of terrorism, the author finds its origins in the myth of the Trojan War, treating it as a battle for space, which was the primary basis for the civilizational leap--the expansion of the Gre...Thinking about the problem of terrorism, the author finds its origins in the myth of the Trojan War, treating it as a battle for space, which was the primary basis for the civilizational leap--the expansion of the Greek world to the east, which led to the flourishing of Greek culture, creating a precedent of justified colonialism, provided strategy and tactics-the causal apology of violence-all subsequent wars, colonial campaigns, which was no exception for the migratory flows of the XX century, as a result of which the word ＂terrorism＂ sounded with by force of the song of B. Brecht. The theme of ＂space＂-chucked away, lost, taken away, destroyed, compressed, anarchic, empty, boundless, virtual-remains vital in our time, when the limitless possibilities lead to the limitation of man himself, his emptiness, and ＂complete shortuess＂ （Platonov）, when the treaty as the basis of human existence is rejected, and when you become the Other yourself. The metaphysics of ＂violence＂ is buried in anthropology-in ignorance of one＇s limits by man, in denying the boundaries of ＂another＇s,＂ in unwillingness to ask a question mad find the answer, in laziness and, in fact, in the loss of oneself.展开更多
This article draws attention to the subject of art in Levinas＇s thinking through consideration of his philosophical language, which is aided by images, metaphors, and idioms of art. The primary image that will accomp...This article draws attention to the subject of art in Levinas＇s thinking through consideration of his philosophical language, which is aided by images, metaphors, and idioms of art. The primary image that will accompany our discussion throughout this article is the image of art as shadow, which Levinas incorporates into the title of the essay which he devotes to the subject of art： ＂Reality and Its Shadow＂. Thinking about art from the perspective of Levinas means thinking about image and essence, about which is visible before us and which we cannot see, and about the different ways in which art can express itself. Levinas＇s theory of interpretation is grounded in and guided by the field of ethics and addresses the ethical aspects of interpretation. Levinas approaches the discourse of interpretation not out of na＇ivet6 but rather based on a deep understanding of the field of hermeneutics, with all its shortcomings and challenges. Thinking of hermeneutics from an ethical perspective is no mere addition to the discussion but the very crux of the matter. An attempt to understand interpretation as an act of exposing the truth encounters serious philosophical and logical difficulties, whether we are seeking to discover the intention of the artist, the intent of a specific work of art, or a hidden form within the work itself. The engagement with Levinas＇s theory of hermeneutics, however, raises a different question which is the focus of this article： Can Levinas＇s theory of interpretation be applied to the realm of artistic creation, and if so, how？ This question is sharpened by the difficulties that Levinas himself poses to his readers by designating art as the ＂shadow＂ of reality and drawing attention to the egoistic dimension of the artistic act.展开更多
Often conceived as metaphysical approach, in the XX Century, philosophy is object of a crusade antimetaphysical in the movement of Logical Positivism. I will try to demonstrate that a philosophical perspective is conc...Often conceived as metaphysical approach, in the XX Century, philosophy is object of a crusade antimetaphysical in the movement of Logical Positivism. I will try to demonstrate that a philosophical perspective is conceivable even in the scientific conception of the world elaborated by the neopositivists. I discuss this point of view with attention to the turn represented by pragmatic philosophy of Neurath, which represents a crucial passage for the future of philosophy. In this vision, the science is not conceivable without philosophy, namely without an open and pluralist scientific philosophy. The philosophy--so--is not insufficient too for the perspective of scientific conception of the world.展开更多
In the quantum mechanical Hilbert space formalism, the probabilistic interpretation is a later ad-hoc add-on, more or less enforced by the experimental evidence, but not motivated by the mathematical model itself. A m...In the quantum mechanical Hilbert space formalism, the probabilistic interpretation is a later ad-hoc add-on, more or less enforced by the experimental evidence, but not motivated by the mathematical model itself. A model involving a clear probabilistic interpretation from the very beginning is provided by the quantum logics with unique conditional probabilities. It includes the projection lattices in von Neumann algebras and here probability conditionalization becomes identical with the state transition of the Lueders-von Neumann measurement process. This motivates the definition of a hierarchy of five compatibility and comeasurability levels in the abstract setting of the quantum logics with unique conditional probabilities. Their meanings are： the absence of quantum interference or influence, the existence of a joint distribution, simultaneous measurability, and the independence of the final state after two successive measurements from the sequential order of these two measurements. A further level means that two elements of the quantum logic （events） belong to the same Boolean subalgebra. In the general case, the five compatibility and comeasurability levels appear to differ, but they all coincide in the common Hilbert space formalism of quantum mechanics, in von Neumann algebras, and in some other cases.展开更多
The paper traces back women like Celie, Shug, Sofia or Nettie engaged in journeys of self-discovery and development, ones that follow predicted feminist patterns, who try to get free from any dominance, either be it m...The paper traces back women like Celie, Shug, Sofia or Nettie engaged in journeys of self-discovery and development, ones that follow predicted feminist patterns, who try to get free from any dominance, either be it male, social or cultural. The colour purple signifies a metaphysical, social and personal rebirth reflected into different shades by their inner self. The social oppression for black women in their quest for freedom is the main theme of Walker＇s novel The Color Purple, written in the epistolary technique of Samuel Richardson＇s in the XVIllth century English novel. In our attempt to analyse the theme and the female characters of the novel we are also trying to cross a bridge from the slave woman of the past belonging to a completely different culture and race to the contemporary paradigm of the liberated woman. The movement in time encompasses possible similitudes and differences.展开更多
Quantum mechanics has some weird aspects, which we simply have to accept, according to Tegmark. However, approaching this issue from a bio-psychological perspective allows for an alternative interpretation that avoids...Quantum mechanics has some weird aspects, which we simply have to accept, according to Tegmark. However, approaching this issue from a bio-psychological perspective allows for an alternative interpretation that avoids this supposedly inherent weirdness. Physical laws are established based on repeated observations or measurements, which involve sense organs. Our capacity for memorization and abstract reflection allows us to draw conclusions on physical reality, which can thus be represented with mathematical formalism. Therefore, physical laws are dependent on pure bio-psychological functions. If quantum mechanics is seen in the bio-psychological context, normal mental functions might explain phenomena such as the collapse of the wave function. If events of interest occurred regularly, similar to classical physics, the same pattern of regular events would be anticipated in the future. Conversely, if events that occurred in the past were irregular, like in quantum mechanics, they would also evolve in an irregular manner in the future. Prediction of irregular behavior requires the ability to imagine multiple possibilities in a kind of mental superposition. Only when one of the imagined possibilities is realized, the mental superposition of the future will collapse to one observable behavior occurring in the present. However, in mental representation, similar to classical physical formalism, some aspects of reality can be lost. When time and space coordinates are replaced by calculated time intervals and spatial distances, time periods and spatial lengths become independent of their initial reference frames. Consequently, the concepts of past, present, and future become irrelevant for time intervals. In quantum mechanics, as well as in mental imagination of potentiality, the notions of the unity of one space for one time and the time arrow are also eliminated. This analogy suggests that physical formalism does not correspond to independent physical reality, but rather to mental functions, which allow establishing a mathematical model of extra-mental reality. If quantum mechanics is conceived as mental potentiality for modeling physical reality, the weird aspect of the collapse of superposition disappears and becomes a simple transition from imagined potentiality in mental representation to observed reality, which could explain the measurement problem.展开更多
In this paper, I will focus on the debate between descriptivism and anti-descriptivism theory about proper names. In the introduction, l will propose an historical reconstruction of the debate, and focus in particular...In this paper, I will focus on the debate between descriptivism and anti-descriptivism theory about proper names. In the introduction, l will propose an historical reconstruction of the debate, and focus in particular on Russell and Kripke＇s treatments of proper names. Strong criticisms will be advanced against Kripke＇s hypothesis of rigid-designator and, more deafly, against the consequent distinction between the epistemic and metaphysical level that Kripke proposes to explain identity assertions between proper names. Furthermore, I will argue, that, pace Kripke, Russellian treatment of proper names allows to capture all our semantic intuitions, and also those semantic interpretations which concern context-belief sentences. I will close the introduction by focusing on a criticism that Kripke rightly points out against an example that Russell proposes in his On Denoting. Section 2 will be devoted to Russellian solution： I will show that not only Russell＇s logical treatment of proper names allows to answer to Kripke＇s criticism to Russell＇s example, but also that such treatment can disambiguate and express all our semantic intuitions about Frege＇s puzzle sentence ＂Hesperus is Phosphorus.＂ ! will then show that, contrarily, Quinian solution （discussed in section 3） and Kripkian one （see section 4） are not satisfactory to capture our semantic knowledge about Frege＇s sentence. Furthermore, in section 5, I will focus on Kripke＇s distinction between epistemic and metaphysical level to deal with identity assertions between proper names, and I will logically show that such distinction is not plausible. In section 5, then, I will show that Russellian solution allows to explain context-belief sentences, contrarily to what Kripke thinks. In Conclusions, I will summarize what 1 have argued in the text.展开更多
Photo dissociation dynamics of diatomic molecular ion HBr＋ interacting with ultra fast laser pulses of different envelop function has been presented both in zero and non zero temperature environment. The calculations...Photo dissociation dynamics of diatomic molecular ion HBr＋ interacting with ultra fast laser pulses of different envelop function has been presented both in zero and non zero temperature environment. The calculations pertain primarily to the ground electronic state of the molecular ion HBr＋. The used potential of HBr＋ is calibrated with the help of the ab initio theoretical calculation at the CCSD/6-311＋＋G（3df, 2pd） level and then fitted with appropriate Morse parameters. The numerical bound states vibrational eigenvalues obtained by the time independent Fourier Grid Hamiltonian method have been compared with analytical values of the fitted Morse potential. The effect of temperature, pulse envelops function, and light intensity on the dissociation process has been explored.展开更多
Classical Indian Buddhist philosopher Nfigfirjuna is known for his philosophical interpretations of the central conception of Buddha＇s teachings, the philosophy of Middle Path （Mfidhyamika）. Notably he had introduc...Classical Indian Buddhist philosopher Nfigfirjuna is known for his philosophical interpretations of the central conception of Buddha＇s teachings, the philosophy of Middle Path （Mfidhyamika）. Notably he had introduced the unique concept of ＂emptiness＂ （gnyata） to explain the Middle Path philosophy： the philosophical meaning of ＂emptiness＂ is dependent co-arising of various elements that support the worldly experience. This study investigates how this concept is used in explaining the subjectivity of a human person and how it is used for interpreting the unique process of human existence. The discussions on subjectivity are imprecise in modern and contemporary philosophy. But Ngrjuna＇s philosophy enables us to explain subjectivity conclusively, without it having to be explained using metaphysical positions. Sunyata may introduce a new definition for the concept of non-self： not for negating the self but for caring self from the problems of life by making it centered in the Middle Path （madhyama-pratipat）, where one may naturally be able to use his wisdom （prajh） as the guiding principle： not mere knowledge （na）. Sanyat is understood using fourfold （catus.kot.i） logical analysis, not twofold analysis employed normally by other philosophers. Here, the Buddhist notion of self as the co-dependent evolution process of five aggregates （pahcaskandhas） is reinterpreted using the unique method of tetralemma （catus.kot. i）. This critique explores the Western philosophy＇s conceptions on ＂human reasoning, ＂logocentrism,＂ and the objective analytical method of modern science.＂ After careful cross examination of the rival philosophical positions, it reasons out why the ＂rationale of nature＂ is always superior to ＂human reasoning＂ and ＂logocentrism,＂展开更多
Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-...Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-equilibrium phenomena can not be said as firm as well established as the Gibbsian ensemble theory. In this work, we present a framework for the non-equilibrium statistical ensemble formalism based on a subdynamic kinetic equation (SKE) rooted from the Brussels-Austin school and followed by some up-to-date works. The constructed key is to use a similarity transformation between Gibbsian ensembles formalism based on Liouville equation and the subdynamic ensemble formalism based on the SKE. Using this formalism, we study the spin-Boson system, as cases of weak coupling or strongly coupling, and obtain the reduced density operators for the Canonical ensembles easily.展开更多
In deformation quantization, static Wigner functions obey functional ,-genvalue equation, which is equivalent to time-independent Schrodinger equation in Hilbert space operator formalism of quantum mechanics. This equ...In deformation quantization, static Wigner functions obey functional ,-genvalue equation, which is equivalent to time-independent Schrodinger equation in Hilbert space operator formalism of quantum mechanics. This equivalence is proved mostly for Hamiltonian with form H^ = （1/2）p^2 ＋ V（x^） [D. Fairlie, Proc. Camb. Phil. Soc. 60 （1964） 581]. In this note we generalize this proof to a very general Hamiltonian H^（x^,p^） and give examples to support it.展开更多
文摘＂The Sun Rising＂ is one of the most outstanding metaphysical poems of John Donne. After a general introduction about the metaphysical poetry and the author, this paper mainly aims to analyze the arresting and original conceits and images used in ＂The Sun Rising＂ and comment on their effect on expressing the author＇s feeling and reflecting his emotions.
文摘Thinking about the problem of terrorism, the author finds its origins in the myth of the Trojan War, treating it as a battle for space, which was the primary basis for the civilizational leap--the expansion of the Greek world to the east, which led to the flourishing of Greek culture, creating a precedent of justified colonialism, provided strategy and tactics-the causal apology of violence-all subsequent wars, colonial campaigns, which was no exception for the migratory flows of the XX century, as a result of which the word ＂terrorism＂ sounded with by force of the song of B. Brecht. The theme of ＂space＂-chucked away, lost, taken away, destroyed, compressed, anarchic, empty, boundless, virtual-remains vital in our time, when the limitless possibilities lead to the limitation of man himself, his emptiness, and ＂complete shortuess＂ （Platonov）, when the treaty as the basis of human existence is rejected, and when you become the Other yourself. The metaphysics of ＂violence＂ is buried in anthropology-in ignorance of one＇s limits by man, in denying the boundaries of ＂another＇s,＂ in unwillingness to ask a question mad find the answer, in laziness and, in fact, in the loss of oneself.
文摘This article draws attention to the subject of art in Levinas＇s thinking through consideration of his philosophical language, which is aided by images, metaphors, and idioms of art. The primary image that will accompany our discussion throughout this article is the image of art as shadow, which Levinas incorporates into the title of the essay which he devotes to the subject of art： ＂Reality and Its Shadow＂. Thinking about art from the perspective of Levinas means thinking about image and essence, about which is visible before us and which we cannot see, and about the different ways in which art can express itself. Levinas＇s theory of interpretation is grounded in and guided by the field of ethics and addresses the ethical aspects of interpretation. Levinas approaches the discourse of interpretation not out of na＇ivet6 but rather based on a deep understanding of the field of hermeneutics, with all its shortcomings and challenges. Thinking of hermeneutics from an ethical perspective is no mere addition to the discussion but the very crux of the matter. An attempt to understand interpretation as an act of exposing the truth encounters serious philosophical and logical difficulties, whether we are seeking to discover the intention of the artist, the intent of a specific work of art, or a hidden form within the work itself. The engagement with Levinas＇s theory of hermeneutics, however, raises a different question which is the focus of this article： Can Levinas＇s theory of interpretation be applied to the realm of artistic creation, and if so, how？ This question is sharpened by the difficulties that Levinas himself poses to his readers by designating art as the ＂shadow＂ of reality and drawing attention to the egoistic dimension of the artistic act.
文摘Often conceived as metaphysical approach, in the XX Century, philosophy is object of a crusade antimetaphysical in the movement of Logical Positivism. I will try to demonstrate that a philosophical perspective is conceivable even in the scientific conception of the world elaborated by the neopositivists. I discuss this point of view with attention to the turn represented by pragmatic philosophy of Neurath, which represents a crucial passage for the future of philosophy. In this vision, the science is not conceivable without philosophy, namely without an open and pluralist scientific philosophy. The philosophy--so--is not insufficient too for the perspective of scientific conception of the world.
文摘In the quantum mechanical Hilbert space formalism, the probabilistic interpretation is a later ad-hoc add-on, more or less enforced by the experimental evidence, but not motivated by the mathematical model itself. A model involving a clear probabilistic interpretation from the very beginning is provided by the quantum logics with unique conditional probabilities. It includes the projection lattices in von Neumann algebras and here probability conditionalization becomes identical with the state transition of the Lueders-von Neumann measurement process. This motivates the definition of a hierarchy of five compatibility and comeasurability levels in the abstract setting of the quantum logics with unique conditional probabilities. Their meanings are： the absence of quantum interference or influence, the existence of a joint distribution, simultaneous measurability, and the independence of the final state after two successive measurements from the sequential order of these two measurements. A further level means that two elements of the quantum logic （events） belong to the same Boolean subalgebra. In the general case, the five compatibility and comeasurability levels appear to differ, but they all coincide in the common Hilbert space formalism of quantum mechanics, in von Neumann algebras, and in some other cases.
文摘The paper traces back women like Celie, Shug, Sofia or Nettie engaged in journeys of self-discovery and development, ones that follow predicted feminist patterns, who try to get free from any dominance, either be it male, social or cultural. The colour purple signifies a metaphysical, social and personal rebirth reflected into different shades by their inner self. The social oppression for black women in their quest for freedom is the main theme of Walker＇s novel The Color Purple, written in the epistolary technique of Samuel Richardson＇s in the XVIllth century English novel. In our attempt to analyse the theme and the female characters of the novel we are also trying to cross a bridge from the slave woman of the past belonging to a completely different culture and race to the contemporary paradigm of the liberated woman. The movement in time encompasses possible similitudes and differences.
文摘Quantum mechanics has some weird aspects, which we simply have to accept, according to Tegmark. However, approaching this issue from a bio-psychological perspective allows for an alternative interpretation that avoids this supposedly inherent weirdness. Physical laws are established based on repeated observations or measurements, which involve sense organs. Our capacity for memorization and abstract reflection allows us to draw conclusions on physical reality, which can thus be represented with mathematical formalism. Therefore, physical laws are dependent on pure bio-psychological functions. If quantum mechanics is seen in the bio-psychological context, normal mental functions might explain phenomena such as the collapse of the wave function. If events of interest occurred regularly, similar to classical physics, the same pattern of regular events would be anticipated in the future. Conversely, if events that occurred in the past were irregular, like in quantum mechanics, they would also evolve in an irregular manner in the future. Prediction of irregular behavior requires the ability to imagine multiple possibilities in a kind of mental superposition. Only when one of the imagined possibilities is realized, the mental superposition of the future will collapse to one observable behavior occurring in the present. However, in mental representation, similar to classical physical formalism, some aspects of reality can be lost. When time and space coordinates are replaced by calculated time intervals and spatial distances, time periods and spatial lengths become independent of their initial reference frames. Consequently, the concepts of past, present, and future become irrelevant for time intervals. In quantum mechanics, as well as in mental imagination of potentiality, the notions of the unity of one space for one time and the time arrow are also eliminated. This analogy suggests that physical formalism does not correspond to independent physical reality, but rather to mental functions, which allow establishing a mathematical model of extra-mental reality. If quantum mechanics is conceived as mental potentiality for modeling physical reality, the weird aspect of the collapse of superposition disappears and becomes a simple transition from imagined potentiality in mental representation to observed reality, which could explain the measurement problem.
文摘In this paper, I will focus on the debate between descriptivism and anti-descriptivism theory about proper names. In the introduction, l will propose an historical reconstruction of the debate, and focus in particular on Russell and Kripke＇s treatments of proper names. Strong criticisms will be advanced against Kripke＇s hypothesis of rigid-designator and, more deafly, against the consequent distinction between the epistemic and metaphysical level that Kripke proposes to explain identity assertions between proper names. Furthermore, I will argue, that, pace Kripke, Russellian treatment of proper names allows to capture all our semantic intuitions, and also those semantic interpretations which concern context-belief sentences. I will close the introduction by focusing on a criticism that Kripke rightly points out against an example that Russell proposes in his On Denoting. Section 2 will be devoted to Russellian solution： I will show that not only Russell＇s logical treatment of proper names allows to answer to Kripke＇s criticism to Russell＇s example, but also that such treatment can disambiguate and express all our semantic intuitions about Frege＇s puzzle sentence ＂Hesperus is Phosphorus.＂ ! will then show that, contrarily, Quinian solution （discussed in section 3） and Kripkian one （see section 4） are not satisfactory to capture our semantic knowledge about Frege＇s sentence. Furthermore, in section 5, I will focus on Kripke＇s distinction between epistemic and metaphysical level to deal with identity assertions between proper names, and I will logically show that such distinction is not plausible. In section 5, then, I will show that Russellian solution allows to explain context-belief sentences, contrarily to what Kripke thinks. In Conclusions, I will summarize what 1 have argued in the text.
文摘Photo dissociation dynamics of diatomic molecular ion HBr＋ interacting with ultra fast laser pulses of different envelop function has been presented both in zero and non zero temperature environment. The calculations pertain primarily to the ground electronic state of the molecular ion HBr＋. The used potential of HBr＋ is calibrated with the help of the ab initio theoretical calculation at the CCSD/6-311＋＋G（3df, 2pd） level and then fitted with appropriate Morse parameters. The numerical bound states vibrational eigenvalues obtained by the time independent Fourier Grid Hamiltonian method have been compared with analytical values of the fitted Morse potential. The effect of temperature, pulse envelops function, and light intensity on the dissociation process has been explored.
文摘Classical Indian Buddhist philosopher Nfigfirjuna is known for his philosophical interpretations of the central conception of Buddha＇s teachings, the philosophy of Middle Path （Mfidhyamika）. Notably he had introduced the unique concept of ＂emptiness＂ （gnyata） to explain the Middle Path philosophy： the philosophical meaning of ＂emptiness＂ is dependent co-arising of various elements that support the worldly experience. This study investigates how this concept is used in explaining the subjectivity of a human person and how it is used for interpreting the unique process of human existence. The discussions on subjectivity are imprecise in modern and contemporary philosophy. But Ngrjuna＇s philosophy enables us to explain subjectivity conclusively, without it having to be explained using metaphysical positions. Sunyata may introduce a new definition for the concept of non-self： not for negating the self but for caring self from the problems of life by making it centered in the Middle Path （madhyama-pratipat）, where one may naturally be able to use his wisdom （prajh） as the guiding principle： not mere knowledge （na）. Sanyat is understood using fourfold （catus.kot.i） logical analysis, not twofold analysis employed normally by other philosophers. Here, the Buddhist notion of self as the co-dependent evolution process of five aggregates （pahcaskandhas） is reinterpreted using the unique method of tetralemma （catus.kot. i）. This critique explores the Western philosophy＇s conceptions on ＂human reasoning, ＂logocentrism,＂ and the objective analytical method of modern science.＂ After careful cross examination of the rival philosophical positions, it reasons out why the ＂rationale of nature＂ is always superior to ＂human reasoning＂ and ＂logocentrism,＂
基金Supported by the National Natural Science Foundation of China under Grant No. 60874087the Grants from Wuhan University of Technology,in Canada by NSERC, MITACS, CIPI, MMO, and CITO
文摘Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-equilibrium phenomena can not be said as firm as well established as the Gibbsian ensemble theory. In this work, we present a framework for the non-equilibrium statistical ensemble formalism based on a subdynamic kinetic equation (SKE) rooted from the Brussels-Austin school and followed by some up-to-date works. The constructed key is to use a similarity transformation between Gibbsian ensembles formalism based on Liouville equation and the subdynamic ensemble formalism based on the SKE. Using this formalism, we study the spin-Boson system, as cases of weak coupling or strongly coupling, and obtain the reduced density operators for the Canonical ensembles easily.
基金supported by National Natural Science Foundation of China under Grant No.10675106
文摘In deformation quantization, static Wigner functions obey functional ,-genvalue equation, which is equivalent to time-independent Schrodinger equation in Hilbert space operator formalism of quantum mechanics. This equivalence is proved mostly for Hamiltonian with form H^ = （1/2）p^2 ＋ V（x^） [D. Fairlie, Proc. Camb. Phil. Soc. 60 （1964） 581]. In this note we generalize this proof to a very general Hamiltonian H^（x^,p^） and give examples to support it.
