Abstract

The quantization of reparametrized systems is discussed using the WKB approximation. The Hamilton-Jacobi function, the equations of motion and the wave function---which the conditions constrain in the semiclassical limit---are determined. The success of this approach is then demonstrated for two applications. The first is an illustrative example of nonrelativistic dynamics. The second is the well-known motion of a relativistic particle in an external electromagnetic field.

DOI

Keywords

Singular Lagrangian, Parametrized systems, WKB Approximation.

First Page

151

Last Page

162

Recommended Citation

NAWAFLEH, K. I, RABEI, E. M, & GHASSIB, H. B (2005). Quantization of Reparametrized Systems Using the WKB Method. Turkish Journal of Physics 29 (3): 151-162. https://doi.org/-

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