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We develop a Hamilton-Jacobi theory for singular lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the lagrangian and hamiltonian settings are discussed...
It is shown how the time-dependent Schr\"{o}dinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equat...
Hamilton's principle is extended to have compatible initial conditions to the strong form. To use a number of computational and theoretical benefits for dynamical systems, the mixed variational formul...
Abstract: The choice of coordinates: time and energy as the most convenient for an eigenvalue equation for a 1--D nonrelativistic Hamiltonian in frames of deformation quantization has been proposed. A...
研究了有限热容高温流体热源和无限热容低温环境间工作的多级内可逆卡诺热机系统, 考虑热源与工质间传热服从广义对流传热定律[q∝(ΔT)m], 在初态时刻和驱动流体初态温度均一定的条件下, 应用最优控制理论导出了最大输出功率与流体温度最优构型相关的连续Hamilton-Jacobi-Bellman (HJB)方程. 基于普适的优化结果, 进一步导出了牛顿传热定律(m=1)下的解析解; 对于非牛顿传热定...
本文在半单Lie代数的Chevalley正则基下给出了二维WZNW场论的Hamilton形式,并在此基础上计算了守恒流之间的Poisson括号,结果正是经典的Kac-Moody流代数.
In the many worlds community seems to exist a belief that the physics of a quantum theory is completely defined by it's Hamilton operator given in an abstract Hilbert space, especially that the positi...
基于有限自由度奇异Lagrange量系统的相空间Green函数生成泛函,导出了该系统在定域变换下的量子Noether恒等式,并指出无论变换的Jacobi行列式是否为1,结论均成立,且在某些情况下,由量子Noether恒等式可导出量子守恒律.利用量子运动方程,量子Noether恒等式可转化为量子(弱)守恒律,这种导致量子守恒律的程式有别于量子水平的Noether第1定理.
2001Vol.35No.4pp.385-388DOI: A Quantum Algorithm for Finding a Hamilton Circuit GUO Hao,1 LONG Gui-Lu,1,2,3,4,5 SUN Yang1,4,6,7 and XIU Xiao-Lin8 1 Department of Physics...
2005Vol.44No.5pp.769-772DOI: Unified Symmetry of Hamilton Systems XU Xue-Jun,1,2 QIN Mao-Chang,1 and MEI Feng-Xiang1 1 Department of Mechanics, Beijing Institute of Tech...
2003Vol.39No.1pp.63-66DOI: On the Hamilton-Jacobi Treatment of Constrained Systems Sami.I. Muslih1 and Hosam A. El-Zalan2 1 Department of Physics, Al-Azhar University, ...
The Hamilton-Jacobi formalism of constrained systems is used to study Siegel superparticles moving in R4 mid 4 flat superspace. The equations of motion for a singular system are obtained as total diff...
In this study, we use perturbation approximations and semiclassical methods to investigate the boundary solutions of non-linear vibrating systems. The extended Mathieu Equation, related to the perturb...

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