Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation
Mathematical Physics
2021-08-17 v3 math.MP
Quantum Physics
Abstract
We present the fundamental solutions for the spin-1/2 fields propagating in the spacetimes with power type expansion/contraction and the fundamental solution of the Cauchy problem for the Dirac equation. The derivation of these fundamental solutions is based on formulas for the solutions to the generalized Euler-Poisson-Darboux equation, which are obtained by the integral transform approach.
Keywords
Cite
@article{arxiv.2103.01405,
title = {Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation},
author = {Karen Yagdjian and Anahit Galstian},
journal= {arXiv preprint arXiv:2103.01405},
year = {2021}
}