Relativistic Coulomb problem for particles with arbitrary half-integer spin

TL;DR

This paper extends the relativistic tensor-bispinorial framework to solve the Coulomb problem for particles with any half-integer spin, providing a generalized approach to relativistic quantum interactions.

Contribution

It introduces a method to solve the Coulomb problem for arbitrary half-integer spin particles using relativistic tensor-bispinorial equations.

Findings

Derived solutions for particles with various half-integer spins

Generalized the relativistic Coulomb problem beyond spin-1/2

Provided analytical results for energy levels and wavefunctions

Abstract

Using relativistic tensor-bispinorial equations proposed in hep-th/0412213 we solve the Kepler problem for a charged particle with arbitrary half-integer spin interacting with the Coulomb potential.