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FIRST INTEGRALS AND INTEGRAL INVARIANTS FOR VARIABLE MASS NONHOLONOMIC SYSTEM IN NONINERTIAL REFERENCE FRAMES 被引量:2
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作者 罗绍凯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第2期147-154,共8页
The first integrals and their conditions of existence for variable massnonholonomic system in noninertial relerence frames are obtained,and the canonicalequations and the variation equations of the system are extended... The first integrals and their conditions of existence for variable massnonholonomic system in noninertial relerence frames are obtained,and the canonicalequations and the variation equations of the system are extended. It is proved that using the first integral we can construct the integral invariant of the system.Finally,a series of deductions and an example are given. 展开更多
关键词 analytical mechanics.nonholonomic constraint variable mass noninertial reference frame first integral.integral invanant
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INTEGRAL THEORY FOR THE DYNAMICS OF NONLINEAR NONHOLONOMIC SYSTEM IN NONINERTIAL REFERENCE FRAMES 被引量:1
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作者 罗绍凯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第10期907-918,共12页
This paper establishes the integral theory for the dynamics of nonlinear nonholonomic system in noninertial reference frame. Firstly, based on the Routh equation of the relative motion of nonlinear nonholonomic system... This paper establishes the integral theory for the dynamics of nonlinear nonholonomic system in noninertial reference frame. Firstly, based on the Routh equation of the relative motion of nonlinear nonholonomic system gives the first integral of the system. Secondly, by using cyclic integral or energy integral reduces the order of the equation and obtains generalized Routh equation and Whittaker equation respectively. Thirdly, derives canonical equation and variation equation and by using the first integral constructs integral invariant. And then, establishes the basic integral variants and the integral invariant of Poincare-Cartan type. Finally, we give a series of deductions. 展开更多
关键词 analytical mechanics nonholonomic constraints noninertial reference frame integral theory
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THE PRINCIPLES OF LEAST ACTION OF VARIABLE MASS NONHOLONOMIC NONCONSERVATIVE SYSTEM IN NONINERTIAL REFERENCE FRAMES
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作者 罗绍凯 梅凤翔 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第9期851-859,共9页
This paper presents the generalized principles of least action of variable mass nonholonomic nonconservative system in noninertial reference frame, proves the equivalence between Holder form and Suslov form, and then ... This paper presents the generalized principles of least action of variable mass nonholonomic nonconservative system in noninertial reference frame, proves the equivalence between Holder form and Suslov form, and then obtains differential equations of motion of variable mass nonholonomic nonconservative system in noninertial reference frame. 展开更多
关键词 analytical mechanics variable mass system nonholonomic constraints noninertial reference frame variational method principle of least action
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GENERALIZED NOETHER’S THEOREM OF NONHOLONOMIC NONPOTENTIAL SYSTEM IN NONINERTIAL REFERENCE FRAMES
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作者 罗绍凯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第9期927-934,共8页
The new Lagrangian of the relative motion of mechanical system is constructed, the varialional principles oj Jourdain's form of nonlinear nonlwlonomic nonpotential system in noninertial reference frame are establi... The new Lagrangian of the relative motion of mechanical system is constructed, the varialional principles oj Jourdain's form of nonlinear nonlwlonomic nonpotential system in noninertial reference frame are established, the generalized Noether's theorem of the system above is presented and proved, and the conserved quantities of system are studied. 展开更多
关键词 noninertial reference trame nonholonomic constraint conservation law of dynamics. Noether's theorem
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Tetrapartite entanglement measures of W-class in noninertial frames
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作者 Ariadna J. Torres-Arenas Edgar O. Lopez-Zuniga +3 位作者 J. Antonio Saldana-Herrera Qian Dong Guo-Hua Sun Shi-Hai Dong 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第7期122-130,共9页
We present the entanglement measures of a tetrapartite W-class entangled system in a noninertial frame, where the transformation between Minkowski and Rindler coordinates is applied.Two cases are considered.First, whe... We present the entanglement measures of a tetrapartite W-class entangled system in a noninertial frame, where the transformation between Minkowski and Rindler coordinates is applied.Two cases are considered.First, when one qubit has uniform acceleration whilst the other three remain stationary.Second, when two qubits have nonuniform accelerations and the others stay inertial.The 1–1 tangle, 1–3 tangle, and whole entanglement measurements π4 and Π4, are studied and illustrated with graphics through their dependence on the acceleration parameter rd for the first case and rc and rd for the second case.It is found that the negativities(1–1 tangle and 1–3 tangle) and π-tangle decrease when the acceleration parameter rd or in the second case rc and rd increase, remaining a nonzero entanglement in the majority of the results.This means that the system will be always entangled except for special cases.It is shown that only the 1–1 tangle for the first case vanishes at infinite accelerations, but for the second case the 1–1 tangle disappears completely when r > 0.472473.An analytical expression for the von Neumann information entropy of the system is found and we note that it increases with the acceleration parameter. 展开更多
关键词 W-class tetrapartite ENTANGLEMENT DIRAC field noninertial FRAMES NONUNIFORM ACCELERATION
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Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames
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作者 Qian Dong R.Santana Carrillo +1 位作者 Guo-Hua Sun Shi-Hai Dong 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第3期170-176,共7页
Using a single-mode approximation, we carry out the entanglement measures, e.g., the negativity and von Neumann entropy when a tetrapartite generalized GHZ state is treated in a noninertial frame, but only uniform acc... Using a single-mode approximation, we carry out the entanglement measures, e.g., the negativity and von Neumann entropy when a tetrapartite generalized GHZ state is treated in a noninertial frame, but only uniform acceleration is considered for simplicity. In terms of explicit negativity calculated, we notice that the difference between the algebraic average π_(4) and geometric average Π_(4) is very small with the increasing accelerated observers and they are totally equal when all four qubits are accelerated simultaneously. The entanglement properties are discussed from one accelerated observer to all four accelerated observers. It is shown that the entanglement still exists even if the acceleration parameter r goes to infinity. It is interesting to discover that all 1-1 tangles are equal to zero, but 1-3 and 2-2 tangles always decrease when the acceleration parameter γ increases. We also study the von Neumann entropy and find that it increases with the number of the accelerated observers. In addition, we find that the von Neumann entropy S_(ABCDI), S_(ABCIDI), S_(ABICIDI) and S_(AIBICIDI) always decrease with the controllable angle θ, while the entropies S_(3-3 non), S_(3-2 non), S_(3-1 non) and S_(3-0 non) first increase with the angle θ and then decrease with it. 展开更多
关键词 tetrapartite generalized GHZ state entanglement measures dirac field noninertial frames
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Teleportation of three-dimensional single particle state in noninertial frames
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作者 吴奇成 文晶姬 +1 位作者 计新 Yeon Kyu-Hwang 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期74-79,共6页
Considering the spin degree of freedom of the Dirac field, we study the entanglement behavior of a different class of communication channel and teleportation of three-dimensional single particle state in noninertial f... Considering the spin degree of freedom of the Dirac field, we study the entanglement behavior of a different class of communication channel and teleportation of three-dimensional single particle state in noninertial frames. Numerical analysis shows that the communication channel in our scheme can offer enough distillable entanglement for the teleportation protocol. Moreover, the teleportation protocol could work well if Rob's acceleration is not very big, but the fidelity of the teleportation is still reduced due to the Unruh effect. 展开更多
关键词 three-dimensional entangled states noninertial frames TELEPORTATION Unruh effect
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INTEGRATION METHOD FOR THE DYNAMICS EQUATION OF RELATIVE MOTION OF VARIABLE MASS NONLINEAR NONHOLONOMIC SYSTEM
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作者 陈向炜 罗绍凯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第5期479-488,共10页
In this paper, the integration methods of dynamics equations of relative motion of variable mass nonlinear nonholonomic system are given such as the gradient method, the single-component method and the field method. F... In this paper, the integration methods of dynamics equations of relative motion of variable mass nonlinear nonholonomic system are given such as the gradient method, the single-component method and the field method. Firstly, the dynamics equations are written in the canonical form and the field form. Secondly, the gradient method, the single-component method and the field method are used to integrate the dynamics equations of the corresponding constant mass holonomic system in inertial reference frame respectively. With the restriction of nonholonomic constraints to the initial conditions being considered, the solutions of the dynamics equations of variable mass nonlinear nonholonomic system in noninertial reference frame are obtained. 展开更多
关键词 analytical mechanics integration method nonlinear nonholonomic constraint variable mass system noninertial reference frame
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Eigenstates of Laser-Assisted Scattering in a Noninertial Frame
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作者 FENG Zi-Min LI Shu-Min 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第6X期1002-1006,共5页
In a rotating noninertial frame, we investigate the eigenstates of the time-dependent problem for electronnucleus scattering assisted by a circularly polarized laser field. Numerical results of probability distributio... In a rotating noninertial frame, we investigate the eigenstates of the time-dependent problem for electronnucleus scattering assisted by a circularly polarized laser field. Numerical results of probability distribution, quantum potential, and current density are discussed. An approximate expression of scattering cross section for low laser frequency is given. 展开更多
关键词 noninertial frame laser field SCATTERING EIGENSTATE
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ROUTH’S EQUATIONS FOR GENERAL NONHOLONOMIC MECHANICAL SYSTEMS OF VARIABLE MASS
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作者 罗耀煌 赵永达 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第3期285-298,共14页
In this paper, Routh 's 'equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any v... In this paper, Routh 's 'equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any variational principles, but from the dynamical equations of Newtonian mechanics. And then again the other forms of equations for nonholonomic systems of variable mass are obtained from Routh's equations. 展开更多
关键词 Routh's equations variable mass system nonholonomic constraint noninertial reference system
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Dynamics of entanglement under decoherence in noninertial frames
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作者 石甲栋 吴韬 +1 位作者 宋学科 叶柳 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期117-123,共7页
In this paper, we investigate the entanglement dynamics of a two-qubit entangled state coupled with its noisy envi- ronment, and plan to utilize weak measurement and quantum reversal measurement to study the entanglem... In this paper, we investigate the entanglement dynamics of a two-qubit entangled state coupled with its noisy envi- ronment, and plan to utilize weak measurement and quantum reversal measurement to study the entanglement dynamics under different decoherence channels in noninertial frames. Through the calculations and analyses, it is shown that the weak measurement can prevent entanglement from coupling to the amplitude damping channel, while the system is under the phase damping and flip channels. This protection protocol cannot prevent entanglement but will accelerate the death of entanglement. In addition, if the system is in the noninertial reference frame, then the effect of weak measurement will be weakened for the amplitude damping channel. Nevertheless, for other decoherence channels, the Unruh effect does not affect the quantum weak measurement, the only exception is that the maximum value of entanglement is reduced to √2/2 of the original value in the inertial frames. 展开更多
关键词 DECOHERENCE noninertial frames entanglement protection protocols
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A Quantum Battle of the Sexes in Noninertial Frame
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作者 Guofu Weng Yang Yu 《Journal of Modern Physics》 2014年第9期908-915,共8页
We investigate the influence of the Unruh effect on the quantum Battle of the Sexes (BOF). We show that the acceleration of a noninertial frame greatly affects the payoffs of the players. In the case of Battle of the ... We investigate the influence of the Unruh effect on the quantum Battle of the Sexes (BOF). We show that the acceleration of a noninertial frame greatly affects the payoffs of the players. In the case of Battle of the Sexes, the Nash Equilibra in the inertial frame may be equilibrium but in other games this conclusion may not be true anymore. Furthermore, we also show that the new Nash Equilibria of the game played in the noninertial frame and the probability distributions of the players in the new Nash Equilibria vary with the acceleration of moving player and the degree of entanglement in the initial state shared by the players. 展开更多
关键词 QUANTUM GAME BATTLE of the SEXES noninertial FRAME
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Electrodynamics in Noninertial Reference Frames
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作者 Stanislav A. Podosenov Jaykov Foukzon +1 位作者 Alexander Potapov Elena Men’kova 《Journal of Applied Mathematics and Physics》 2016年第4期806-843,共38页
The electrodynamics both in RF with prescribed law of motion and in FR with prescribed structure is considered. Parallel comparison for solutions in “uniformly accelerated” NRF M?ller system and in uniformly acceler... The electrodynamics both in RF with prescribed law of motion and in FR with prescribed structure is considered. Parallel comparison for solutions in “uniformly accelerated” NRF M?ller system and in uniformly accelerated rigid NFR in the space of the constant curvature is carried out. The stationary criterion is formulated. On the basis of this criterion, one of the “eternal physical problems” concerning the field at uniformly accelerated charge motion is considered. The problems of electromagnetic wave spreading, Doppler’s effect and field transformations are discussed. 展开更多
关键词 noninertial Reference Frame (NFR) Möller system Space-Time Curvature Anholonomic Transformations Doppler’s Effect Electromagnetic Wave
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Dynamics of Measurement-Induced Disturbance for a Qubit-Qutrit System in Noninertial Frames
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作者 袁浩 韦联福 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第1期17-21,共5页
We investigate the dynamics of measurement-induced disturbance(MID) for a qubit-qutrit system in noninertial frames under various multi-local decoherence channels(i.e.,dephasing,phase-flip,bit-(trit-) flip,bit-(trit-)... We investigate the dynamics of measurement-induced disturbance(MID) for a qubit-qutrit system in noninertial frames under various multi-local decoherence channels(i.e.,dephasing,phase-flip,bit-(trit-) flip,bit-(trit-) phase-flip,and depolarizing channels).We find that,for any acceleration,the MID can decay in a monotonic way to zero or to a nonzero steady value(i.e.,residual MID exists).Consequently,no sudden death of the MID occurs,which is different from entanglement. 展开更多
关键词 measurement-induced disturbance qubit-qutrit systems noninertial frames decoherence
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Entanglement measures of a new type pseudo-pure state in accelerated frames 被引量:3
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作者 Qian Dong Ariadna J. Torres-Arenas +2 位作者 Guo-Hua Sun Wen-Chao Qiang Shi-Hai Dong 《Frontiers of physics》 SCIE CSCD 2019年第2期23-29,共7页
In this work we analyze the characteristics of quantum entangleinent of the Dirac field in noninertial reference frames in the context of a new type pseudo-pure state, which is composed of the Bell states. This will h... In this work we analyze the characteristics of quantum entangleinent of the Dirac field in noninertial reference frames in the context of a new type pseudo-pure state, which is composed of the Bell states. This will help us to understand the relationship between the relativity and quantum information theory. Some states will be changed from entangled states into separable ones around the critical value F = 1/4, but there is no such a critical value for the variable y related to acceleration a. We find that the negativity Nas (ρ^TA AB 1) increases with F but decreases with the variable y、while the variation of the negativity Nb1b11(ρ^TB1 B1B11)is opposite to that of the negativity N AB1(ρ^TA AB1). We also study the von Neumann entropies S(ρAB1) and S(ρB1B11)、We find that the S(ρAB1) increases with variable y but S(ρB1B11) is independent of it. However, both S(ρAB1) and S(ρB1B11) first decreases with F and then increases with it. The concurrences C(ρAB1) and C(ρB1B11) are also discussed. We find that the former decreases with y while the latter increases with y but both of them first increase with F and then decrease with it. 展开更多
关键词 NEGATIVITY pseudo-pure state noninertial frame ENTANGLEMENT von NEUMANN entropy CONCURRENCE
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Non-Maximal Tripartite Entanglement Degradation of Dirac and Scalar Fields in Non-Inertial Frames 被引量:1
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作者 Salman Khan Niaz Ali Khan M.K.Khan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第3期281-288,共8页
The π-tangle is used to study the behavior of entanglement of a nonmaximal tripartite state of both Dirac and scMar fields in accelerated frame. For Dirac fields, the degree of degradation with acceleration of both o... The π-tangle is used to study the behavior of entanglement of a nonmaximal tripartite state of both Dirac and scMar fields in accelerated frame. For Dirac fields, the degree of degradation with acceleration of both one-tangle of accelerated observer and π-tangle, for the same initial entanglement, is different by just interchanging the values of probability amplitudes. A fraction of both one-tangles and the π-tangle always survives for any choice of acceleration and the degree of initial entanglement. For scalar field, the one-tangle of accelerated observer depends on the choice of values of probability amplitudes and it vanishes in the range of infinite acceleration, whereas for 1r-tangle this is not always true. The dependence of π-tangle on probability amplitudes varies with acceleration. In the lower range of acceleration, its behavior changes by switching between the values of probability amplitudes and for larger values of acceleration this dependence on probability amplitudes vanishes. Interestingly, unlike bipartite entanglement, the degradation of π-tangle against acceleration in the case of sca/ar fields is slower than for Dirac fields. 展开更多
关键词 tripartite entanglement noninertial frame
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