Quantization of Reparametrized Systems Using the WKB Method

Authors : Khaled I NAWAFLEH, Eqab M RABEI, Humam B GHASSIB

Pages : 151-162

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Publication Date : 0000-00-00

Article Type : Research Paper

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