共查询到20条相似文献,搜索用时 31 毫秒
1.
SHAOMing-Xue ZHUZHONG-Yuan 《理论物理通讯》2001,35(3):263-266
The Weil‘s integrality condition of prequantization is generalized to two-dimensional phase space with boundaries.It is shown that in the prequantization condition a term related to the symplectic potential on the boundary appears.The necessity of the generalized condition is proved by analyzing the isolated singularities of the Hermitian bundle while the sufficiency of the condition is proved via geometric construction on the space of equivalence class. 相似文献
2.
对于一类其非线性约束方程可展开为关于广义速度的MacLaurin级数的非完整系统,可以在 完全理想的情况下用Lagrange未定乘数法和d'Alembert原理建立其Routh方程.由此可以得到 结论:Chetaev条件只有在线性非完整系统中才成立并且等价于Vacco条件.引入“Euler条件 ”,可以统一Chetaev条件和Vacco条件,统一d'Alembert原理和Hamilton原理,并解决所有 现存于非线性非完整系统中的问题.
关键词:
非线性非完整系统
Routh方程
Chetaev条件
Vacco条件
Euler条件 相似文献
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Akira Satoh 《Molecular physics》2013,111(21-23):2459-2469
We have developed the modified periodic-shell boundary condition (BC) for dissipative particle dynamics (DPD) simulations, which enables us to simulate an outer flow problem around an obstacle using a small simulation region. In order to clarify the validity of this BC, we have treated a uniform flow past a circular cylinder. The present BC has been compared with the ordinary BC such as the uniform flow condition. Also, the present results have been compared with those of the numerical results of the Navier–Stokes equation. The ordinary uniform BC is seen to give rise to significantly distorted flow fields and also to significant disappearance of dissipative particles from the simulation region. In contrast, for the present modified periodic-shell BC, the number density of dissipative particles is kept almost constant during a simulation run, and the flow field is in reasonable agreement with the result, which has been obtained by numerical simulations of the Navier–Stokes equation. 相似文献
5.
耗散粒子动力学(dissipative particle dynamics,DPD)作为一种介观尺度拉格朗日型粒子方法,已经成功地应用于微纳米流动和生化科技的研究中.复杂固体壁面的处理和壁面边界条件的实施一直是DPD方法发展及应用的一个障碍.提出了处理复杂固体壁面的一种新的方法.复杂固体区域通过冻结随机分布并且达到平衡状态的DPD粒子代表;所冻结的DPD粒子位于临近流动区域的一个截距内;在靠近固体壁面的流动区域中设置流动反弹层,当流动DPD粒子进入此流动层后反弹回流动区域.应用这种固体壁面处理方法对简单流动区域的Poiseuille流动和复杂多孔介质内的流动进行了分析.研究表明,这种新的固体壁面处理方法能够有效模拟复杂固体区域,准确实施壁面边界条件. 相似文献
6.
Under two boundary conditions, the generalized Atiyah–Patodi–Singer boundary condition and the modified generalized Atiyah–Patodi–Singer boundary condition, we get the lower bounds for the eigenvalues of the fundamental Dirac operator on compact spin manifolds with nonempty boundary. 相似文献
7.
Amit Verma 《Physics letters. A》2010,374(8):1009-1020
A generalized notion of higher order nonclassicality (in terms of higher order moments) is introduced. Under this generalized framework of higher order nonclassicality, conditions of higher order squeezing and higher order subpoissonian photon statistics are derived. A simpler form of the Hong-Mandel higher order squeezing criterion is derived under this framework by using an operator ordering theorem introduced by us in [A. Pathak, J. Phys. A 33 (2000) 5607]. It is also generalized for multi-photon Bose operators of Brandt and Greenberg. Similarly, condition for higher order subpoissonian photon statistics is derived by normal ordering of higher powers of number operator. Further, with the help of simple density matrices, it is shown that the higher order antibunching (HOA) and higher order subpoissonian photon statistics (HOSPS) are not the manifestation of the same phenomenon and consequently it is incorrect to use the condition of HOA as a test of HOSPS. It is also shown that the HOA and HOSPS may exist even in absence of the corresponding lower order phenomenon. Binomial state, nonlinear first order excited squeezed state (NLESS) and nonlinear vacuum squeezed state (NLVSS) are used as examples of quantum state and it is shown that these states may show higher order nonclassical characteristics. It is observed that the Binomial state which is always antibunched, is not always higher order squeezed and NLVSS which shows higher order squeezing does not show HOSPS and HOA. The opposite is observed in NLESS and consequently it is established that the HOSPS and HOS are two independent signatures of higher order nonclassicality. 相似文献
8.
We derive the time evolution of the normal fluctuations of a classical lattice spin system induced by a generalized Glauber dynamics. The canonical form of this dynamics is derived. We prove that it is asymptotically (i.e., after the central limit) free. The results are applied to give a rigorous proof of the macroscopic reciprocity relations and the linear theory for small deviations from equilibrium. 相似文献
9.
S. Kitajima F. Shibata 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2000,11(1):13-23
Studies on a generalized Coleman-Hepp model are done on the basis of a spin coherent state representation and a transformation
property of the model Hamiltonian. Namely, transforming the original model Hamiltonian into a simpler form, we can determine
time evolution of the whole system by successive applications of rotation operators in a spinor space. Dynamics of detector
spins as well as that of an incident particle are fully discussed. Explicit numerical evaluations are also performed. Relevance
of our solution to a generalized Cini model is also briefly mentioned.
Received 24 August 1999 相似文献
10.
The addition of a nonlinear term to the Jaynes-Cummings Hamiltonian induced a nontrivial discrete dynamics for the number of possible transitions of a given order, represented by a Fibonacci series. We describe the physics of the problem in terms of relevant operators which close a semi-Lie algebra under commutation with the Hamiltonian and therefore extending the generalized Bloch equations, already obtained for the linear case, to the nonlinear one. The initial conditions as well as a thermodynamical treatmetn of the problem is analyzed via the maximum entropy principle density operator. Finally, a generalized solution for the time-independent case is obtained and the solution for the field in a thermal state is recovered. 相似文献
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We investigate chaotic synchronization in the generalized sense in unidirectionally coupled erbium-doped fibre dual-ring lasers. Numerical simulation shows that no matter whether the two different erbium-doped fibre dual-ring lasers are chaotic or not before coupling, they show generalized synchronization with a suitable unidirectional coupling coefficient under which the maximum condition Lyapunov exponent is negative. We also use the auxiliary system approach to detect the generalized synchronization. 相似文献
13.
We present a density matrix of a mesoscopic RLC circuits to make it possible to analyze the connection between the initial
condition and the certain temperature. Our results show that the quantum state evolution will be closely related to the initial
condition; the system evolves to generalized coherent state if it is in ground state initially, and evolves to squeezed state
if it is in excited state initially. In addition, we also obtain squeezed minimum uncertainty state with satisfying certain
condition in mesoscopic RLC circuit. 相似文献
14.
Suppose that a group of automorphisms of a von Neumann algebraM, fixes the center elementwise. We show that if this group commutes with the modular (KMS) automorphism group associated with a normal faithful state onM, then this state is left invariant by the group of automorphisms. As a result we obtain a “noncommutative” ergodic theorem. The discrete spectrum of an abelian unitary group acting as automorphisms ofM is completely characterized by elements inM. We discuss the KMS condition on the CAR algebra with respect to quasi-free automorphisms and gauge invariant generalized free states. We also obtain a necessary and sufficient condition for the CAR algebra and a quasi-free automorphism group to be η-abelian. 相似文献
15.
It is shown that a vorticity, constructed from the spin field of a quantum spinning plasma, combines with the classical generalized vorticity (representing the magnetic and the velocity fields) to yield a new grand generalized vorticity that obeys the standard vortex dynamics. Expressions for the quantum or spin vorticity and for the resulting generalized helicity invariant are derived. Reduction of the rather complex spinning quantum system to a well known and highly investigated classical form opens familiar channels for the delineation of physics peculiar to dense plasmas spanning solid state to astrophysical objects. A simple example is worked out to show that the magnetics of a spinning plasma can be much richer than that of the corresponding classical system. 相似文献
16.
S. L. Ginzburg A. V. Nakin N. E. Savitskaya 《Journal of Experimental and Theoretical Physics》2006,103(5):747-755
The critical state of a two-dimensional discrete superconductor in an external magnetic field is studied. This state is found to be self-organized in the generalized sense, i.e., is a set of metastable states that transform to each other by means of avalanches. An avalanche is characterized by the penetration of a magnetic flux to the system. The sizes of the occurring avalanches, i.e., changes in the magnetic flux, exhibit the power-law distribution. It is also shown that the size of the avalanche occurring in the critical state and the external magnetic field causing its change are statistically independent quantities. 相似文献
17.
WAN Hua-Ming LUO Hai-Mei WANG Yi-Fan 《理论物理通讯》2005,44(12)
Based on the maximum entropy principle, we present a density matrix of mesoscopic RLC circuit to make it possible to analyze the connection of the initial condition with temperature. Our results show that the quantum state evolution is closely related to the initial condition, and that the system evolves to generalized coherent state if it is in ground state initially, and evolves to squeezed state if it is in excited state initially. 相似文献
18.
WAN Hua-Ming LUO Hai-Mei WANG Yi-Fan 《理论物理通讯》2005,44(6):1045-1049
Based on the maximum entropy principle, we present a density matrix of mesoscopic RLC circuit to make it possible to analyze the connection of the initial condition with temperature. Our results show that the quantum state evolution is closely related to the initial condition, and that the system evolves to generalized coherent state if it is in ground state initially, and evolves to squeezed state if it is in excited state initially. 相似文献
19.
The aim of this paper is to highlight the added value of the generalized Gouy phase shift introduced by Siegman. Although suited for optical systems study, including those more complex than free space, we note that it did not meet the use that it deserves so far. The analysis of the whole of the ideas and analytical approaches associated to the important concept of the Gouy phase proves its effectiveness.
Usually, the resonance condition is systematically built on the basis of the equivalent empty cavity. Unfortunately, this approach does not cover some of the useful parameters of the real resonator. By means of the generalized Gouy phase and the self-consistent complex parameter q, we derive here a new approach for the calculation of the resonance condition for the real cavity. Moreover, the use of the generalized Gouy phase clearly simplifies the study of resonators, while making it possible to avoid the use of the Huygens’ Fresnel integral. 相似文献