Authors: KHALED I. NAWAFLEH, EQAB M. RABEI, HUMAM B. GHASSIB
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.
Keywords: Singular Lagrangian, Parametrized systems, WKB Approximation.
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