Quantization of second-order constrained Lagrangian systems using the WKB approximation

被引：6
|
作者：
Rabei, EM [1 ]
Hassan, EH
Ghassib, HB
机构：
[1] Mutah Univ, Dept Phys, Al Karak, Jordan
[2] Univ Jordan, Dept Phys, Amman, Jordan
[3] Al Azhar Univ, Dept Phys, Gaza, Israel
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2005年 / 2卷 / 03期
关键词：
second-order constrained Lagrangian; WKB approximation; quantization of constrained systems; singular Lagrangian;
D O I：
10.1142/S0219887805000661
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A general theory is given for quantizing both constrained and unconstrained systems with second-order Lagrangian, using the WKB approximation. In constrained systems, the constraints become conditions on the wave function to be satisfied in the semiclassical limit. This is illustrated with two examples.
引用
收藏
页码：485 / 504
页数：20
相关论文
共 50 条
  • [41] Quantization of Reparametrized Systems Using the WKB Method
    Nawafleh, Khaled I.
    Rabei, Eqab M.
    Ghassib, Humam B.
    TURKISH JOURNAL OF PHYSICS, 2005, 29 (03): : 151 - 162
  • [42] WKB and turning point theory for second-order difference equations
    Geronimo, JS
    Bruno, O
    Van Assche, W
    SPECTRAL METHODS FOR OPERATORS OF MATHEMATICAL PHYSICS, 2004, 154 : 101 - 138
  • [43] Quantization of Christ-Lee model using the WKB approximation
    Rabei, EM
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (09) : 2097 - 2102
  • [44] Hamiltonian Perturbations at the Second-Order Approximation
    Di Yang
    Annales Henri Poincaré, 2020, 21 : 3919 - 3937
  • [45] Hamiltonian Perturbations at the Second-Order Approximation
    Yang, Di
    ANNALES HENRI POINCARE, 2020, 21 (12): : 3919 - 3937
  • [46] WEAK APPROXIMATION OF SECOND-ORDER BSDES
    Possamai, Dylan
    Tan, Xiaolu
    ANNALS OF APPLIED PROBABILITY, 2015, 25 (05): : 2535 - 2562
  • [47] Hamilton-Jacobi treatment of constrained systems with second-order Lagrangians
    Rabei, EM
    Hasan, EH
    Ghassib, HB
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (04) : 1073 - 1096
  • [48] APPROXIMATION IN GENERALIZED MORREY SPACES USING THE SECOND-ORDER DIFFERENCE
    Hasanah, Dahliatul
    Gunawan, Hendra
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2025, 28 (01): : 159 - 172
  • [49] Subharmonic solutions for a class of second-order impulsive Lagrangian systems with damped term
    Xingyong Zhang
    Boundary Value Problems, 2013
  • [50] The Lagrangian Stability for a Class of Second-Order Quasi-Periodic Reversible Systems
    Shi, Yanling
    Li, Jia
    ABSTRACT AND APPLIED ANALYSIS, 2011,
12345