Title of article :
Quantization of Nonholonomic Constraints Using the WKB Approximation
Author/Authors :
Al-Ajaleen, A. A. Mu’tah University - Department of Physics, Jordan , Nawafleh, K. I. Mu’tah University - Department of Physics, Jordan
Abstract :
The Hamilton-Jacobi theory is used to obtain the Hamilton function for nonholonomic constraints in addition to the equations of motion. The technique of separation of variables and canonical transformation is applied here to solve the Hamilton- Jacobi partial differential equation for nonholonomic systems. The Hamilton-Jacobi function is then used to construct the wave function and to quantize these systems using the WKB approximation.
Keywords :
Nonholonomic constraints , Quantization , WKB approximation
Journal title :
Jordan Journal of Physics
Journal title :
Jordan Journal of Physics
