QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION-Reference-Cited by-同舟云学术

QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION

Published:2005-06 Issue:03 Volume:02 Page:485-504
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

RABEI EQAB M.¹,HASSAN EYAD H.²,GHASSIB HUMAM B.²,MUSLIH S.³

Affiliation:

1. Physics Department, Mu'tah University, Karak, Jordan

2. Department of Physics, University of Jordan, Amman, Jordan

3. Department of Physics, Al-Azhar University, Gaza-Palestine, Egypt

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887805000661

Reference19 articles.

1. Review of a Generalized Electrodynamics

2. Fine structure of strings

3. Field theory of paths with a curvature-dependent term

4. On squaring the primary constraints in a generalized Hamiltonian dynamics

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