Quantization of constrained systems using the WKB approximation

Eqab M. Rabei, Khaled I. Nawafleh, and Humam B. Ghassib
Phys. Rev. A 66, 024101 – Published 5 August 2002
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Abstract

A general theory for solving the Hamilton-Jacobi partial differential equations for constrained Hamiltonian systems is proposed. The quantization of constrained systems is then applied using the WKB approximation. The constraints become conditions on the wave function to be satisfied in the semiclassical limit.

  • Received 26 December 2001

DOI:https://doi.org/10.1103/PhysRevA.66.024101

©2002 American Physical Society

Authors & Affiliations

Eqab M. Rabei*

  • Physics Department, Mutah University, Karak, Jordan

Khaled I. Nawafleh and Humam B. Ghassib

  • Department of Physics, University of Jordan, Amman, Jordan

  • *Email address: eqab@mutah.edu.jo

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Vol. 66, Iss. 2 — August 2002

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