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Phys. Rev. A 66, 024101 (2002) [4 pages]

Quantization of constrained systems using the WKB approximation

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Eqab M. Rabei*
Physics Department, Mutah University, Karak, Jordan

Khaled I. Nawafleh and Humam B. Ghassib
Department of Physics, University of Jordan, Amman, Jordan

Received 26 December 2001; published 5 August 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.024101
DOI:
10.1103/PhysRevA.66.024101
PACS:
03.65.Sq

*Email address: eqab@mutah.edu.jo