Hamilton-Jacobi quantization of singular Lagrangians with linear velocities

被引:4
|
作者
Muslih, SI [1 ]
El-Zalan, HA
Rabei, EM
机构
[1] Al Azhar Univ, Dept Phys, Gaza, Israel
[2] Al Azhar Univ, Dept Math, Gaza, Israel
[3] Abdus Salaam Int Ctr Theoret Phys, Trieste, Italy
[4] Mutah Univ, Dept Phys, Al Karak, Jordan
关键词
Hamiltonian and Lagrangian approaches; Hamilton-Jacobi approach; total differential equations; integrable systems;
D O I
10.1007/s10773-005-4685-x
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, constrained Hamiltonian systems with linear velocities are investigated by using the Hamilton-Jacobi method. The integrablity conditions are considered on the equations of motion and the action function as well in order to obtain the path integral quantization of singular Lagrangians with linear velocities.
引用
收藏
页码:1271 / 1279
页数:9
相关论文
共 50 条
  • [1] Hamilton–Jacobi Quantization of Singular Lagrangians with Linear Velocities
    Sami I. Muslih
    Hosam A. El-Zalan
    Eqab M. Rabei
    International Journal of Theoretical Physics, 2005, 44 : 1271 - 1279
  • [2] Hamilton-Jacobi treatment of Lagrangians with linear velocities
    Rabei, EM
    Nawafleh, KI
    Abdelrahman, YS
    Omari, HYR
    MODERN PHYSICS LETTERS A, 2003, 18 (23) : 1591 - 1596
  • [3] Singular Lagrangians and the Hamilton-Jacobi Formalism in Classical Mechanics
    Hernandez, Luis Gerardo Romero
    Cabrera, Jaime Manuel
    Lopez, Ramon Eduardo Chan
    Fuentes, Jorge Mauricio Paulin
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2025, 64 (02)
  • [4] Hamilton-Jacobi quantization of constrained systems with second-order Lagrangians
    Muslih, SI
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2003, 53 (12) : 1163 - 1171
  • [5] Hamilton-Jacobi formulation for singular systems with second-order Lagrangians
    Pimentel, BM
    Teixeira, RG
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1996, 111 (07): : 841 - 854
  • [6] Hamilton-Jacobi equations and brane associated Lagrangians
    Baker, LM
    Fairlie, DB
    NUCLEAR PHYSICS B, 2001, 596 (1-2) : 348 - 364
  • [7] Singular Lagrangians and the Hamilton-Jacobi Formalism in Classical MechanicsSingular Lagrangians and the Hamilton-Jacobi Formalism in Classical MechanicsL. G. Romero Hernández et al.
    Luis Gerardo Romero Hernández
    Jaime Manuel Cabrera
    Ramón Eduardo Chan López
    Jorge Mauricio Paulin Fuentes
    International Journal of Theoretical Physics, 64 (2)
  • [8] Hamilton-Jacobi quantization of constrained systems
    Baleanu, D
    Güler, Y
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2001, 51 (12) : 1260 - 1265
  • [9] QUANTIZATION AND CLASSICAL HAMILTON-JACOBI EQUATION
    MOTZ, L
    PHYSICAL REVIEW, 1962, 126 (01): : 378 - &
  • [10] HAMILTON-JACOBI QUANTIZATION OF GENERAL RELATIVITY
    KOMAR, A
    PHYSICAL REVIEW, 1967, 153 (05): : 1385 - &