Abstract
The Lagrange multipliers for holonomic systems are introduced as generalized coordinates, then, the system is enlarged to be singular system. The Hamilton-Jacobi function is obtained. This function is used to determine the solution of the equations of motion for holonomic systems and to quantize these systems using the WKB approximation. Two examples are considered to demonstrate the application of our formalism. The solution of the two examples are found to be in exact agreement with the Euler-Lagrange equations.
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