- Turkish Journal of Physics
- Vol: 29 Issue: 3
- Quantization of Reparametrized Systems Using the WKB Method
Quantization of Reparametrized Systems Using the WKB Method
Authors : Khaled I. Nawafleh, Eqab M. Rabei, Humam B. Ghassib
Pages : 151-162
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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.