Path Integral Solution by Sum Over Perturbation Series

Abstract

A method for calculating the relativistic path integral solution via sum over perturbation series is given. As an application the exact path integral solution of the relativistic Aharonov-Bohm-Coulomb system is obtained by the method. Different from the earlier treatment based on the space-time transformation and infinite multiple-valued trasformation of Kustaanheimo-Stiefel in order to perform path integral, the method developed in this contribution involves only the explicit form of a simple Green's function and an explicit path integral is avoided.

13 pages, ReVTeX, no figures

References in corpus (3)

• Path integral for a relativistic Aharonov-Bohm-Coulomb system
• Path Integral of Relativistic Coulomb System
• Green's function for the Relativistic Coulomb System via Sum Over Perturbation Series

Cited by in corpus (3)

• Semiclassical Quantization for the Spherically Symmetric Systems under an Aharonov-Bohm magnetic flux
• Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect
• Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect and Anomalous Cross Section induced by Quantum Interference