Alternative method for determining the Feynman propagator of a relativistic quantum mechanical problem

作者：Moshinsky M^*; Sadurni E

来源：Revista Mexicana de Fisica, 2008, 54(3): 92-98.

• Feynman propagator
• Dirac oscillator
• relativistic Green functions

The authors, together with A. del Campo, developed an alternative method for determining the Feynman propagator [1] for a non-relativistic problem. One started with the time dependent Schroedinger equation for the problem. Carried out a Laplace transform with respect to time to get the equation for the energy dependent Green function and derived it explicitly. We then carried Out the inverse Laplace transform in the energy to get Feynman propagator. In this paper we carry out the same programme for a relativistic problem associated with the one dimensional Dirac equation of a free particle and the Dirac oscillator proposed by Moshinsky and Szczepaniak [2] twenty years ago.

• 出版日期2008-12