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1.
稳态光折变空间孤子传输的量子理论   总被引:1,自引:0,他引:1       下载免费PDF全文
江金环  王永龙  李子平 《物理学报》2004,53(12):4070-4074
稳态光折变空间孤子系统可用奇异Lagrange量描述,系统含Dirac约束.通常按对应原理写 出孤子系统的量子对易关系和量子运动方程时,未计及约束.对稳态光折变空间光孤子约束 系统进行Dirac括号量子化,给出了系统的对易关系和量子场方程.在线性近似下给出量子 非线性薛定谔方程的微扰解,并讨论了孤子的压缩性质. 关键词: 量子场论 量子光学 光折变空间孤子 压缩效应  相似文献   

2.
隆正文  刘波  李子平 《物理学报》2004,53(7):2094-2099
对约束系统量子化中Dirac方法和 Faddeev-Jackiw方法进行了讨论,并对它们的运动方程、正则量子化的等价性进行证明.找出了两种方法中约束的对应关系. 关键词: Faddeev-Jackiw方法 Dirac方法 约束系统 正则量子化  相似文献   

3.
Lagrange系统Lie点变换下的共形不变性与守恒量   总被引:1,自引:0,他引:1       下载免费PDF全文
蔡建乐  梅凤翔 《物理学报》2008,57(9):5369-5373
研究Lagrange系统Lie点变换下的共形不变性与守恒量,给出Lagrange系统的共形不变性定义和确定方程,讨论系统共形不变性与Lie对称性的关系,得到在无限小单参数点变换群作用下系统共形不变性同时是Lie对称性的充要条件,导出系统相应的守恒量,并给出应用算例. 关键词: Lagrange系统 Lie点变换 共形不变性 守恒量  相似文献   

4.
王廷志  孙现亭  韩月林 《物理学报》2013,62(23):231101-231101
研究了相对运动变质量完整系统的共形不变性与守恒量,提出了该系统共形不变性的概念,推导出了相对运动变质量完整系统的运动微分方程具有共形不变性并且是 Lie 对称性的充要条件,借助规范函数满足的结构方程导出系统相应的守恒量,并给出应用算例. 关键词: 变质量 相对运动 共形不变性 守恒量  相似文献   

5.
刘畅  刘世兴  梅凤翔  郭永新 《物理学报》2008,57(11):6709-6713
研究了广义Hamilton系统在无限小变换下的共形不变性,推导出共形不变性的确定方程,找到在无限小变换下的共形不变性并且是Lie对称性的共形因子,最后导出广义Hamilton系统的运动微分方程共形不变时的Hojman守恒量,并给出应用算例. 关键词: 广义Hamilton系统 共形不变性 Hojman守恒量 确定方程  相似文献   

6.
张芳  张耀宇  薛喜昌  贾利群 《物理学报》2015,64(13):134501-134501
研究相对运动完整系统Appell方程Mei对称性的共形不变性与守恒量. 引入无限小单参数变换群及其生成元向量, 给出相对运动完整系统Appell方程的Mei对称性和共形不变性的定义, 导出系统Mei对称性的共形不变性确定方程, 重点讨论系统共形不变性和Mei对称性的关系, 然后借助规范函数满足的结构方程导出系统Mei对称性导致的Mei守恒量表达式, 最后举例说明结果的应用.  相似文献   

7.
在依据Dirac约束规范理论和作推广后的条件下,导出了规范生成元,推导出了1+1维O(3)非线性σ模型的一般条件(β≠0)下的BRST变换,给出了其BRST变换与Dirac规范变换的等价关系,得到了鬼场的新的一般对易关系,且其一般参数β为零时就回到通常的鬼场的对易关系.并由规范生成元导出了BRST荷,进而完成了此模型的一种BRST量子化.还在此基础上进一步导出了此系统的Green函数生成泛函、连通Green函数生成泛函和正规顶角生成泛函,获得了3种不同的Ward恒等式  相似文献   

8.
Lagrange系统的共形不变性与Hojman守恒量   总被引:2,自引:0,他引:2       下载免费PDF全文
刘畅  梅凤翔  郭永新 《物理学报》2008,57(11):6704-6708
研究了一般完整Lagrange系统在无限小变换下的共形不变性,推导出共形不变性的确定方程,并且找到在特殊无限小变换下的共形不变性并且是Lie对称性的共形因子,接下来导出Lagrange系统的运动微分方程共形不变时的Hojman守恒量,并给出应用算例. 关键词: Lagrange系统 共形不变性 Hojman守恒量 确定方程  相似文献   

9.
分别从Faddeev–Popov(FP)和Faddeev–Senjanovic(FS)路径积分量子化方法对高阶微商规范不变系统导致的位形空间和相空间生成泛函出发,导出规范系统在量子水平下的守恒律,用于高阶Maxwell非AbelChern–Simons(CS)理论.得到了高阶Maxwell非AbelCS理论与标量场耦合系统的量子BRS守恒荷和量子守恒角动量,无论从位形空间或相空间的生成泛函出发,其结果是相同的.并对CS理论中的分数自旋性质给予了讨论.  相似文献   

10.
施沈阳  黄晓虹  张晓波  金立 《物理学报》2009,58(6):3625-3631
研究离散差分Hamilton系统的Lie对称性与Noether守恒量. 根据扩展的时间离散力学变分原理构建Hamilton系统的差分动力学方程.定义离散系统运动差分方程在无限小变换群下的不变性为Lie对称性, 导出由Lie对称性得到系统离散Noether守恒量的判据. 举例说明结果的应用. 关键词: 离散力学 差分Hamilton系统 Lie对称性 Noether守恒量  相似文献   

11.
The covariant two-dimensional action principle that describes the dynamics of free superstrings in a Minkowski background is reviewed. Covariant gauge conditions are formulated, which simplify the equations of motion of the superspace coordinates to free equations. In this gauge there are bosonic and fermionic constraints whose generators give a supersymmetric generalization of the Virasoro algebra. As in certain supersymmetric field theories, closure of the algebra requires using the equations of motion. Covariant constrained bracket relations are obtained for the classical theory, but it is very difficult to extend them to quantum mechanical commutation relations. Interaction vertices satisfying supersymmetry and the necessary gauge conditions are constructed. They reduce in a special frame to ones found in earlier work in the light-cone gauge, and then can be interpreted quantum mechanically.  相似文献   

12.
13.
Many of us are familiar with Feynman’s “proof” of 1948, as revealed by Dyson, which demonstrates that Maxwell equations of electromagnetism are a consequence of Newton’s laws of motion of classical mechanics and the commutation relations of coordinate and momentum of quantum mechanics. It was Feynman’s purpose to explore the universality of dynamics of particles while making the fewest assumptions. We re-examine this formulation in the context of quantum gravity and show how Feynman’s derivation can be extended to include quantum gravity.  相似文献   

14.
We discuss quantum fields on Riemannian space-time. A principle of local definiteness is introduced which is needed beyond equations of motion and commutation relations to fix the theory uniquely. It also allows us to formulate local stability. In application to a region with a time-like Killing vector field and horizons it yields the value of the Hawking temperature. The concept of vacuum and particles in a non-stationary metric is treated in the example of the Robertson-Walker metric and some remarks on detectors in non-inertial motion are added.  相似文献   

15.
Inner products in pseudo-Hermitian quantum theories depend on the details of the Hamiltonians themselves, which makes them difficult to calculate. We shall see that, for some questions, the functional integrals for such theories can be calculated without needing to determine the inner product metric. The reason is that their derivation is based on the Heisenberg equations of motion and the canonical commutation relations, which are unchanged. In particular, this can greatly simplify the derivation of Hermitian theories that are equivalent to these pseudo-Hermitian systems.  相似文献   

16.
This work starts by generalizing in a gravitational field the fundamental quantum mechanical commutation relations between the coordinates of a charged test particle and its momentum. Assuming that the components of the momentum of this test charge obey a noncommutative algebra in the presence of an electromagnetic field, it is proved that the commutator can be identified with the electromagnetic field tensor. Using these results, the equation of motion of this charged object in the presence of both the electromagnetic and gravitational fields is derived from their field equations. In this work, the laws of motion of a particle in the electromagnetic and gravitational fields has been unified with the field equations. Although the field equations themselves are not directly unified, this work strongly suggests that the scheme may act as a possible framework for the unification of at least gravitational and electromagnetic interactions.  相似文献   

17.
The quantum inverse problem method is applied to the nonlinear Schrödinger equation on a one-dimensional chain. The commutation relations of field operators are noncanonical. The generating functional of quantum integrals of the motion, creation and annihilation operators of the eigenstates are constructed.  相似文献   

18.
We investigate a quantum physical system that can be naturally separated into fast and slow moving components. A modification of the conventional molecular Born-Oppenheimer approximation is considered by taking the intermolecular position vector to be a slowlyvarying quantum mechanical parameter. It is found that the fast motion (electronic degrees of freedom) induces a non-Abelian vector potential (Berry connection) into the dynamics of the slow system (nucleus), thereby modifying the commutation relations of the slow variables.  相似文献   

19.
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