Nonunitary representations of the SU(2) algebra in the Dirac equation with a Coulomb potential

DOI10.1063/1.532867zbMath0953.81024arXivmath-ph/9809018OpenAlexW3099910031MaRDI QIDQ4701857

A. L. Salas-Brito, Jaime Saldaña-Vega, Rodolfo P. Martínez-y-Romero

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9809018

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (5)

The Dirac H-atom using the phase as an extra variable ⋮ \(\mathrm{SU}(1,1)\) coherent states for Dirac-Kepler-Coulomb problem in \(D+1\) dimensions with scalar and vector potentials ⋮ An algebraic \(\text{SU}(1,1)\) solution for the relativistic hydrogen atom ⋮ Coherent and squeezed vibrations for discrete variable harmonic oscillators ⋮ Non-Hermitian interactions between harmonic oscillators, with applications to stable, Lorentz-violating quantum electrodynamics

Cites Work

• Superintegrability in Classical Mechanics: A Contemporary Approach to Bertrand's Theorem
• New non-unitary representations in a Dirac hydrogen atom
• Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics
• Unitary Groups: Representations and Decompositions
• A Note on the Wave Functions of the Relativistic Hydrogenic Atom
• The Factorization Method

This page was built for publication: Nonunitary representations of the SU(2) algebra in the Dirac equation with a Coulomb potential