Heun functions describing bosons and fermions on Melvin's spacetime
Marina-Aura Dariescu, Ciprian Dariescu
TL;DR
This paper derives solutions to Klein-Gordon and Dirac equations for bosons and fermions in Melvin spacetime using Heun functions, providing a mathematical framework for understanding particle behavior in this magnetic universe.
Contribution
It introduces a coordinate-free method to solve fundamental equations in Melvin spacetime using Heun's biconfluent functions, advancing analytical techniques in curved magnetic backgrounds.
Findings
Solutions expressed in terms of Heun functions
Analytical framework for bosons and fermions in Melvin spacetime
Coordinate-free approach enhances mathematical understanding
Abstract
Employing a pseudo-orthonormal coordinate-free approach, the solutions to the Klein--Gordon and Dirac equations for particles in Melvin spacetime are derived in terms of Heun's biconfluent functions.
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