The Amplitude of One-dimensional Relativistic Path Integral Problem

De‐Hone Lin

The fixed-energy amplitudes (Green's function) of the one-dimensional relativistic Wood - Saxon, step and square well potential problems are calculated with the help of Kleinert's path integral technique for relativistic potential problems.

De‐Hone Lin

The formulation of the relativistic spinless path integral on the general affine space is presented. For the one dimensional space, the Duru-Kleinert (DK) method and the $δ$-function perturbation technique are applied to solve the relativistic path integrals of the smooth potential and the Dirichlet boundary condition problems, respectively.

Gian Fabrizio De Angelis, Maurizio Serva

V. Pažma

De‐Hone Lin

The path integral for the relativistic three-dimensional spinless Aharonov–Bohm–Coulomb system is solved, and the energy spectra are extracted from the resulting amplitude.