Lagrangian Methods and the Path Integral

Bipin R. Desai

Ola A. Jarab’ah

Path integral formulation based on the canonical method is discussed. The Hamilton Jacobi function for regular Lagrangian is obtained using separation of variables method. This function is used to quantize regular systems using path integral method. The path integral is obtained as integration over the canonical phase space coordinates. One illustrative example is considered to demonstrate the application of our formalism.

Osvaldo Civitarese, Manuel Gadella

Ola A. Jarab’ah

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.

Ashok Kumar Kapoor, Pankaj Sharan

A method for deriving the Schrodinger equation for Lagrangian path integral with scaling of local time is given.