Hamilton-Jacobi quantization of constrained systems with second-order Lagrangians

被引:3
|
作者
Muslih, SI [1 ]
机构
[1] Al Azhar Univ, Dept Phys, Gaza, Palestine, Israel
关键词
Hamiltonian and Lagrangian approach; Hamilton-Jacobi approach; second-order Lagrangians; path-integral quantization;
D O I
10.1023/B:CJOP.0000010581.01882.90
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the path-integral quantization of constrained systems with second-order Lagrangians using the Hamilton-Jacobi method. The path-integral quantization for two models is obtained using the canonical path-integral method.
引用
收藏
页码:1163 / 1171
页数:9
相关论文
共 50 条
  • [1] Hamilton-Jacobi treatment of constrained systems with second-order Lagrangians
    Rabei, EM
    Hasan, EH
    Ghassib, HB
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (04) : 1073 - 1096
  • [2] Hamilton-Jacobi quantization of constrained systems with second-order Lagrangians: Splines in the Euclidean 3-space
    Muslih, SI
    Farahat, NI
    Heles, MR
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2004, 119 (06): : 531 - 538
  • [3] Hamilton-Jacobi formulation for singular systems with second-order Lagrangians
    Pimentel, BM
    Teixeira, RG
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1996, 111 (07): : 841 - 854
  • [4] Hamilton–Jacobi Treatment of Constrained Systems with Second-Order Lagrangians
    Eqab M. Rabei
    Eyad H. Hasan
    Humam B. Ghassib
    [J]. International Journal of Theoretical Physics, 2004, 43 : 1073 - 1096
  • [5] Hamilton-Jacobi quantization of constrained systems
    Baleanu, D
    Güler, Y
    [J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2001, 51 (12) : 1260 - 1265
  • [6] CONSTRAINED SYSTEMS, GENERALIZED HAMILTON-JACOBI ACTIONS, AND QUANTIZATION
    Cattaneo, Alberto S.
    Mnev, Pavel
    Wernli, Konstantin
    [J]. JOURNAL OF GEOMETRIC MECHANICS, 2022, 14 (02): : 179 - 272
  • [7] Hamilton-Jacobi quantization of singular Lagrangians with linear velocities
    Muslih, SI
    El-Zalan, HA
    Rabei, EM
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2005, 44 (08) : 1271 - 1279
  • [8] A universal Hamilton-Jacobi equation for second-order ODEs
    Prince, GE
    Aldridge, JE
    Byrnes, GB
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (05): : 827 - 844
  • [9] Quantization of singular systems with second-order Lagrangians
    Muslih, SI
    [J]. MODERN PHYSICS LETTERS A, 2002, 17 (36) : 2383 - 2391
  • [10] ON MULTI-TIME HAMILTON-JACOBI THEORY VIA SECOND ORDER LAGRANGIANS
    Treanta, Savin
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2014, 76 (03): : 129 - 140