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论科学知识的公共性维度 被引量:1
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作者 王维国 杨鹏亮 《商丘师范学院学报》 CAS 2004年第1期21-24,共4页
正是那些可以社会化的重复性经验事实才能被称为科学事实或客观事实。它不仅是可传达的,而且是可以用公共的方法所验证的,它构成了科学知识的直接基础。社会化的可重复性,即公共性,这一看似简单却具有深刻的认识论意义的科学基础却长期... 正是那些可以社会化的重复性经验事实才能被称为科学事实或客观事实。它不仅是可传达的,而且是可以用公共的方法所验证的,它构成了科学知识的直接基础。社会化的可重复性,即公共性,这一看似简单却具有深刻的认识论意义的科学基础却长期被哲学家们所误解或遗忘。在我们看来,维特根斯坦的"生活形式"、库恩的"范式"、建构主义的"本征态"等有关观点蕴含有对科学知识的公共性维度的一定程度的肯定的思想或意识。尤其是建构主义的"本征态",是关于"科学知识的客观有效性问题"的极有意义的探索成果。公共性是科学知识之不可或缺的维度,在引入公共性的基础上对科学认识论进行重构,对于推动科学认识论研究的深入发展有着积极的意义。 展开更多
关键词 科学知识 公共性维度 客观有效性 认识论 建构主义 “本征态”
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Indecomposable Representations of the Square—Root Lie Algebras of Vector Type and Their Boson Realizations 被引量:1
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作者 RUANDong YUANJing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2001年第5期513-518,共6页
The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invar... The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invariant subspaces and the quotient spaces. From Fock representations corresponding to these indecomposable representations, the inhomogeneous boson realizations of are given. The expectation values of in the angular momentum coherent states are calculated as well as the corresponding classical limits. 展开更多
关键词 nonlinear Lie algebra indecomposable representation boson realization angular momentum coherent state
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A New Kind of k-Quantum Nonlinear Coherent States: Their Generation and PhysicalMeaning
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作者 WANGJi-Suo LIUTang-Kun +2 位作者 FENGJian SUNJin-Zuo ZHANMing-Sheng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期935-940,共6页
A new kind of k-quantum nonlinear coherent states,i.e.,the k eigenstates of the k-th power~k (k≥3) of the generalized annihilation operator=1/f() of f-oscillators,are obtained and their properties are discussed.The c... A new kind of k-quantum nonlinear coherent states,i.e.,the k eigenstates of the k-th power~k (k≥3) of the generalized annihilation operator=1/f() of f-oscillators,are obtained and their properties are discussed.The completeness of the k states is investigated.An alternative method to construct them is proposed.It is shown that these states may form a complete Hilbert space,and all of them can be generated by a linear superposition of k Roy-type nonlinear coherent states.Physically,they can be generated by a linear superposition of the time-dependent Roy-type nonlinear coherent states at different instants. 展开更多
关键词 orthonormalized eigenstate k-quantum nonlinear coherent states COMPLETENESS physical meaning
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Three-Particle Einstein-Podolsky-Rose Eigenstate and Its Application in QuantumDense Coding
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作者 SONGTong-Qiang LIHui-Jun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期867-870,共4页
We study the properties of the three-mode Einstein-Podolsky-Rose (EPR) eigenstate and its application in quantum dense coding. Our result shows that the three-mode EPR eigenstate provides a convenient way to realize q... We study the properties of the three-mode Einstein-Podolsky-Rose (EPR) eigenstate and its application in quantum dense coding. Our result shows that the three-mode EPR eigenstate provides a convenient way to realize quantum dense coding when the quantum channel is a three-mode squeezed state. 展开更多
关键词 three-particle EPR eigenstate quantum dense coding entagling operator
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Second Reference State and Complete Eigenstates of Open XYZ Chain
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作者 冯俊 陈曦 +4 位作者 郝昆 侯伯宇 石康杰 孙成一 杨文力 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第7期55-60,共6页
The second reference state of the open XYZ spin chain with non-diagonal boundary terms is studied. The associated Bethe states exactly yield the second set of eigenvalues proposed recently by functional Bethe Ansatz.
关键词 algebraic Bethe ansatz XYZ spin chain
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Groundstate with Zero Eigenvalue for Generalized Sombrero-Shaped Potential in N-Dimensional Space
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作者 ZHAO Wei-Qin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第7期139-141,共3页
Based on an iterative method for solving the groundstate of Schrodinger equation, it is found that a kind of generalized Sombrero-shaped potentials in N-dimensional space has groundstates with zero eigenvalue. The res... Based on an iterative method for solving the groundstate of Schrodinger equation, it is found that a kind of generalized Sombrero-shaped potentials in N-dimensional space has groundstates with zero eigenvalue. The restrictions on the parameters in the potential are discussed. 展开更多
关键词 iterative solution zero eigenvalue generalized Sombrero-shaped potential
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Approximate Bound State Solutions of DKP Equation for Any J State in the Presence of Woods-Saxon Potential
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作者 R.Oudi S.Hassanabadi +1 位作者 A.A.Rajabi H.Hasanabadi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第1期15-18,共4页
We study Duffin-Kemmer-Petiau(DKP) equation in the presence of the Woods-Saxon potential and obtain eigenvalues and corresponding eigenfunctions for any J state by using of the Nikiforov-Uvarov(NU) method.The Pekeris ... We study Duffin-Kemmer-Petiau(DKP) equation in the presence of the Woods-Saxon potential and obtain eigenvalues and corresponding eigenfunctions for any J state by using of the Nikiforov-Uvarov(NU) method.The Pekeris approximation is used to deal with centrifugal term. 展开更多
关键词 DKP equation Woods-Saxson potential Pekeris approximation NU method
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Entanglement of the Common Eigenvector of Two Particles‘ Center—of—Mass Coordinate and Mass—Weighted Relative Momentum
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作者 FANHong-Yi SUNMing-Zhai 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第5期535-538,共4页
We reveal that the common eigenvector of two particles' center-of-mass coordinate and mass-weightedrelative momentum is an entangled state. Its Schmidt decomposition exhibits that the entanglement involves squeezi... We reveal that the common eigenvector of two particles' center-of-mass coordinate and mass-weightedrelative momentum is an entangled state. Its Schmidt decomposition exhibits that the entanglement involves squeezingwhich depends on the ratio of two particles' masses. The corresponding entangling operators are derived. 展开更多
关键词 center-of mass coordinate mass-weighted relative momentum entangled state
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Theory of Dynamics In-Phase Locking and Quasi-Period Synchronization in Two Mutually Coupled Multi-Quantum-Well Lasers 被引量:1
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作者 YAN Sen-Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第3期481-488,共8页
Abstract We study dynamics in two mutually coupling multi-quantum-well lasers. We carry out theoretical and numerical analysis of synchronization, anti-synchronization, in-phase locking in the two identical lasers but... Abstract We study dynamics in two mutually coupling multi-quantum-well lasers. We carry out theoretical and numerical analysis of synchronization, anti-synchronization, in-phase locking in the two identical lasers but detuning, in detain. It is proved that the coupling level determines stability of the lasers by analyzing the eigenvalue equation. Critical case of locking is discussed via the phase difference equation. Quasi-period and stable states in the two lasers are investigated via varying the current, detuning and coupling level. 展开更多
关键词 in-phase locking SYNCHRONIZATION multi-quantum-well laser COUPLING
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Bound State Solutions of Schrodinger Equation for Generalized Morse Potential with Position-Dependent Mass 被引量:1
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作者 Altug Arda Ramazan Sever 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第7期51-54,共4页
The effective mass one-dimensional Schroedinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. T... The effective mass one-dimensional Schroedinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are also reduced to the constant mass case. Energy eigenvalues are computed numerically for some diatomic molecules. They are in agreement with the ones obtained before. 展开更多
关键词 position dependent mass Schr5dinger equation generalized morse potential Nikiforov-Uvarovmethod energy eigenvalues EIGENFUNCTIONS
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Shaking Table Test of Pile-Water-Pier Superstructure 被引量:1
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作者 柳春光 孙国帅 韩亮 《Transactions of Tianjin University》 EI CAS 2012年第3期188-193,共6页
The model test of seismic simulation shaking table is an important method to study the seismic design of bridge structure. In order to evaluate the seismic response and dynamic characteristics of pile-water-pier syste... The model test of seismic simulation shaking table is an important method to study the seismic design of bridge structure. In order to evaluate the seismic response and dynamic characteristics of pile-water-pier system for developing more reliable design procedures, shaking table model tests of a submerged bridge pier system, including pile groups-cap-pier and inertia mass, were conducted. Since different similitude laws corresponding to different test objectives affected the validity of test results, the similitude law with the aim to consider the effect of hydrodynamic pressure was proposed and confirmed through an actual example. Based on the test results, the effect of water around model on seismic response under seismic excitation input was analyzed and the failure level was judged by observing the variation of basic frequency. The test results indicate that the transfer function of analytical model with water is different from that without water, the natural frequency without water is always higher than that with water, and the first modal shapes are various. It is also concluded that the similitude law is suitable for practical application and the dynamic characteristics and seismic response of the structure system can be changed because of the existence of the surrounding water, which should be paid much attention in the further investigation. 展开更多
关键词 model test shaking table seismic response dynamic characteristics similitude law basic frequency
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Quantitative sufficient conditions for adiabatic approximation 被引量:7
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作者 CAO HuaiXin GUO ZhiHua +1 位作者 CHEN ZhengLi WANG WenHu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2013年第7期1401-1407,共7页
Two linear In this letter, we prove the following conclusions by introducing a function Fn(t): (1) If a quantum system S with a time-dependent non-degenerate Hamiltonian H(t) is initially in the n-th eigenstate... Two linear In this letter, we prove the following conclusions by introducing a function Fn(t): (1) If a quantum system S with a time-dependent non-degenerate Hamiltonian H(t) is initially in the n-th eigenstate of H(0), then the state of the system at time t will remain in the n-th eigenstate of H(t) up to a multiplicative phase factor if and only if the values Fn(t) for all t are always on the circle centered at 1 with radius 1; (2) If a quantum system S with a time-dependent Hamiltonian H(t) is initially in the n-th eigenstate of H(0), then the state of the system at time t will remain c-uniformly approximately in the n-th eigenstate of H(t) up to a multiplicative phase factor if and only if the values F,(t) for all t are always outside of the circle centered at 1 with radius 1-ε. Moreover, some quantitative sufficient conditions for the state of the system at time t to remain ε-uniformly approximately in the n-th eigenstate of H(t) up to a multiplicative phase factor are established. Lastly, our results are illustrated by a spin-half particle in a rotating magnetic field. 展开更多
关键词 quantitative condition adiabatic approximation uniformly slowly evolving 6-uniformly slowly evolving
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Computable upper bounds for the adiabatic approximation errors 被引量:2
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作者 YU BaoMin CAO HuaiXin +1 位作者 GUO ZhiHua WANG WenHua 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第11期2031-2038,共8页
For a given Hermitian Hamiltonian H(s)(s∈[0,1])with eigenvalues Ek(s)and the corresponding eigenstates|Ek(s)(1 k N),adiabatic evolution described by the dilated Hamiltonian HT(t):=H(t/T)(t∈[0,T])starting from any fi... For a given Hermitian Hamiltonian H(s)(s∈[0,1])with eigenvalues Ek(s)and the corresponding eigenstates|Ek(s)(1 k N),adiabatic evolution described by the dilated Hamiltonian HT(t):=H(t/T)(t∈[0,T])starting from any fixed eigenstate|En(0)is discussed in this paper.Under the gap-condition that|Ek(s)-En(s)|λ>0 for all s∈[0,1]and all k n,computable upper bounds for the adiabatic approximation errors between the exact solution|ψT(t)and the adiabatic approximation solution|ψadi T(t)to the Schr¨odinger equation i|˙ψT(t)=HT(t)|ψT(t)with the initial condition|ψT(0)=|En(0)are given in terms of fidelity and distance,respectively.As an application,it is proved that when the total evolving time T goes to infinity,|ψT(t)-|ψadi T(t)converges uniformly to zero,which implies that|ψT(t)≈|ψadi T(t)for all t∈[0,T]provided that T is large enough. 展开更多
关键词 adiabatic bounds Hamiltonian fidelity Hermitian dilated numerically exact initially coherent
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Weighing neutrinos in dynamical dark energy models 被引量:1
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作者 Xin Zhang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2017年第6期86-88,共3页
The discovery of neutrino oscillation indicates that neutrinos have masses and each flavor state is actually a superposition of three mass states with masses m1,m2,and m3.However,the neutrino oscillation experiments a... The discovery of neutrino oscillation indicates that neutrinos have masses and each flavor state is actually a superposition of three mass states with masses m1,m2,and m3.However,the neutrino oscillation experiments are not able to measure the absolute masses of neutrinos,but can only measure the squared mass differences between the neutrino mass eigenstates—The solar and reactor experiments gave 展开更多
关键词 dynamical superposition accelerator flavor inverted absolute hierarchy actually oscillation constraint
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Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces
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作者 Ren Zhang Chenwei Lv +1 位作者 Yangqian Yan Qi Zhou 《Science Bulletin》 SCIE EI CSCD 2021年第19期1967-1972,M0003,共7页
Engineering lattice models with tailored inter-site tunnelings and onsite energies could synthesize essentially arbitrary Riemannian surfaces with highly tunable local curvatures.Here,we point out that discrete synthe... Engineering lattice models with tailored inter-site tunnelings and onsite energies could synthesize essentially arbitrary Riemannian surfaces with highly tunable local curvatures.Here,we point out that discrete synthetic Poincaréhalf-planes and Poincarédisks,which are created by lattices in flat planes,support infinitely degenerate eigenstates for any nonzero eigenenergies.Such Efimov-like states exhibit a discrete scaling symmetry and imply an unprecedented apparatus for studying quantum anomaly using hyperbolic surfaces.Furthermore,all eigenstates are exponentially localized in the hyperbolic coordinates,signifying the first example of quantum funneling effects in Hermitian systems.As such,any initial wave packet travels towards the edge of the Poincaréhalf-plane or its equivalent on the Poincarédisk,delivering an efficient scheme to harvest light and atoms in two dimensions.Our findings unfold the intriguing properties of hyperbolic spaces and suggest that Efimov states may be regarded as a projection from a curved space with an extra dimension. 展开更多
关键词 Efimov-like states Discrete scaling symmetry Quantum funneling effects Hyperbolic surfaces
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An upper bound for the generalized adiabatic approximation error with a superposition initial state
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作者 WANG WenHua CAO HuaiXin +1 位作者 LU Ling YU BaoMin 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2015年第3期1-7,共7页
The classical adiabatic approximation theory gives an adiabatic approximate solution to the Schr6dinger equation (SE) by choosing a single eigenstate of the Hamiltonian as the initial state. The superposition princi... The classical adiabatic approximation theory gives an adiabatic approximate solution to the Schr6dinger equation (SE) by choosing a single eigenstate of the Hamiltonian as the initial state. The superposition principle of quantum states enables us to mathematically discuss the exact solution to the SE starting from a superposition of two different eigenstates of the time-dependent Hamiltonian H(0). Also, we can construct an approximate solution to the SE in terms of the corresponding instantaneous eigenstates of H(t). On the other hand, any physical experiment may bring errors so that the initial state (input state) may be a superposition of different eigenstates, not just at the desired eigenstate. In this paper, we consider the generalized adiabatic evolution of a quantum system starting from a superposition of two different eigenstates of the Hamiltonian at t = 0. A generalized adiabatic approximate solution (GAAS) is constructed and an upper bound for the generalized adiabatic approximation error is given. As an application, the fidelity of the exact solution and the GAAS is estimated. 展开更多
关键词 upper bound ERROR quantum adiabatic approximation
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Approximate Bound States Solution of the Hellmann Potential 被引量:3
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作者 M. Hamzavi K.E. Thylwe and A.A. Rajabi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第7期1-8,共8页
The Hellmann potential, which is a superposition of an attractive Coulomb potential -air and a Yutmwa potential b e-δr /r , is often used to compute bound-state normalizations and energy levels of neutral atoms. By u... The Hellmann potential, which is a superposition of an attractive Coulomb potential -air and a Yutmwa potential b e-δr /r , is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov (NU) method, we have obtained the approximate analytical solutions of the radial Schr6dinger equation (SE) for the Hellmann potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented, which show good agreement with a numerical amplitude phase method and also those previously obtained by other methods. As a particular case, we find the energy levels of the pure Coulomb potential. 展开更多
关键词 Schrodinger equation Hellmann potential Nikiforov-Uvarov method
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QCD factorization semi-inclusive deep inelastic scattering diffractive deep inelastic scattering
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作者 周高亮 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第2期204-212,共9页
The operator level proof of factorization theorem exhibited in [ar Xiv:hep-ph/1307.4194] is extended to the semi-inclusive deep inelastic scattering process(SIDIS). Factorization theorem can be proved at operator l... The operator level proof of factorization theorem exhibited in [ar Xiv:hep-ph/1307.4194] is extended to the semi-inclusive deep inelastic scattering process(SIDIS). Factorization theorem can be proved at operator level if there are not detected soft hadrons. The key point is that the initial one-nucleon state is the eigenstate of QCD. 展开更多
关键词 QCD Factorization of Semi-Inclusive DIS Process at Operator Level
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FURTHER RESEARCH OF A NEW KIND OF SERIES REPAIRABLE SYSTEM 被引量:2
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作者 Lina GUO Houbao XU +1 位作者 Chao GAO Guangtian ZHU 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第4期744-758,共15页
This paper is devoted to studying the uniqueness and existence of the system dynamic solution by using C0-semigroup theory and discussing its exponential stability by analyzing the spectrul distribution of system oper... This paper is devoted to studying the uniqueness and existence of the system dynamic solution by using C0-semigroup theory and discussing its exponential stability by analyzing the spectrul distribution of system operator and its quasi-compactness. Some primary reliability indices are discussed with the eigenfunction of system operator and the optimal vacation time to get the maximum system profit is analyzed at the end of paper. 展开更多
关键词 Co-semigroup theory dynamic solution exponential stability profit analysis reliability indices steady-state solution.
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Solution of Dirac Equation with Generalized Hylleraas Potential
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作者 Akpan N.Ikot 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第3期268-272,共5页
We employ the parametric generalization of the Nikiforov-Uvarov method to solve the Alhaidari formal- ism of the Dirac equation with a generalized Hylleraas potential of the form V(τ)= V0(a + exp (λτ))/(b ... We employ the parametric generalization of the Nikiforov-Uvarov method to solve the Alhaidari formal- ism of the Dirac equation with a generalized Hylleraas potential of the form V(τ)= V0(a + exp (λτ))/(b + exp (λτ)) + V1( d + exp ( λτ) ) / (b + exp (λτ)). We obtain the bound state energy eigenvalue and the corresponding eigenfunction ex- pressed in terms of the Jaeobi polynomials. By choosing appropriate parameter in the potential model, the generalized Hylleraas potential reduces to the well known potentials as special cases. 展开更多
关键词 Dirac equation Alhaidari formalism Nikiforov-Urarov method
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