TITLE:
Path Integral Quantization of Non-Natural Lagrangian
AUTHORS:
Ola A. Jarab’ah
KEYWORDS:
Path Integral, Quantization, Hamilton Jacobi Equation, Non-Natural Lagrangian, Hamilton Jacobi Function
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.10,
October
23,
2023
ABSTRACT: Path integral technique is discussed using Hamilton Jacobi method. The Hamilton Jacobi function of non-natural Lagrangian is obtained using separation of variables method. This function makes an important role in path integral quantization. The path integral is obtained as integration over the canonical phase space coordinates, which contains the generalized coordinate q and the generalized momentum p. One illustrative example is considered to explain the application of our formalism.