Quantization of Holonomic Systems Using WKB Approximation

被引：0
|
作者：
M. Serhan
M. Abusini
Eqab M. Rabei
机构：
[1] Al al-Bayt University,Department of Physics
来源：
International Journal of Theoretical Physics | 2009年 / 48卷
关键词：
Hamilton-Jacobi formulation; Constrained systems; WKB appraximation; Holonomic systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Lagrange multipliers for holonomic systems are introduced as generalized coordinates, then, the system is enlarged to be singular system. The Hamilton-Jacobi function is obtained. This function is used to determine the solution of the equations of motion for holonomic systems and to quantize these systems using the WKB approximation. Two examples are considered to demonstrate the application of our formalism. The solution of the two examples are found to be in exact agreement with the Euler-Lagrange equations.
引用
收藏
页码：2731 / 2739
页数：8
相关论文
共 50 条
  • [1] Quantization of Holonomic Systems Using WKB Approximation
    Serhan, M.
    Abusini, M.
    Rabei, Eqab M.
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2009, 48 (10) : 2731 - 2739
  • [2] Quantization of constrained systems using the WKB approximation
    Rabei, EM
    Nawafleh, KI
    Ghassib, HB
    [J]. PHYSICAL REVIEW A, 2002, 66 (02) : 1 - 4
  • [3] Quantization of fractional systems using WKB approximation
    Rabei, Eqab M.
    Muslih, Sami I.
    Baleanu, Dumitru
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (04) : 807 - 811
  • [4] Quantization of fractional singular Lagrangian systems using WKB approximation
    Rabei, Eqab M.
    Al Horani, Mohammed
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2018, 33 (36):
  • [5] Quantization of Nonholonomic Constraints Using the WKB Approximation
    Al-Ajaleen, A. A.
    Nawafleh, K. I.
    [J]. JORDAN JOURNAL OF PHYSICS, 2013, 6 (02): : 79 - 86
  • [6] Quantization of higher-order constrained Lagrangian systems using the WKB approximation
    Hasan, EH
    Rabei, EM
    Ghassib, HB
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (11) : 2285 - 2298
  • [7] Quantization of second-order constrained Lagrangian systems using the WKB approximation
    Rabei, EM
    Hassan, EH
    Ghassib, HB
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2005, 2 (03) : 485 - 504
  • [8] Quantization of Higher-Order Constrained Lagrangian Systems Using the WKB Approximation
    Eyad H. Hasan
    Eqab M. Rabei
    Humam B. Ghassib
    [J]. International Journal of Theoretical Physics, 2004, 43 : 2285 - 2298
  • [9] Quantization of Christ—Lee Model Using the WKB Approximation
    Eqab M. Rabei
    [J]. International Journal of Theoretical Physics, 2003, 42 : 2097 - 2102
  • [10] Quantization of Reparametrized Systems Using the WKB Method
    Nawafleh, Khaled I.
    Rabei, Eqab M.
    Ghassib, Humam B.
    [J]. TURKISH JOURNAL OF PHYSICS, 2005, 29 (03): : 151 - 162
12345