On Parasupersymmetries in Relativistic Coulomb Problem for the Modified Stueckelberg Equation
Artur Sergyeyev
TL;DR
This paper introduces a novel relativistic quantum-mechanical model exhibiting parasupersymmetry, specifically addressing the Coulomb problem for a massive spin-1 particle within the modified Stueckelberg framework, expanding understanding of relativistic symmetries.
Contribution
It provides the first example of parasupersymmetry in a relativistic Coulomb problem for a modified Stueckelberg equation involving a spin-1 particle.
Findings
Demonstrates parasupersymmetry in a non-oscillator-like relativistic Coulomb system
Models a massive spin-1 particle in an electromagnetic Coulomb field
Extends the application of parasupersymmetry to relativistic quantum mechanics
Abstract
This paper presents a first example of parasupersymmetric relativistic quantum-mechanical model with non-oscillator-like interaction: the Coulomb problem for the modified Stueckelberg equation, describing a relativistic massive spin-1 particle in the electromagnetic field of a point charge.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Algebraic and Geometric Analysis · Nonlinear Waves and Solitons