Dynamical symmetries of the Klein–Gordon equation

DOI10.1063/1.3089583zbMath1202.81061arXiv0805.4723OpenAlexW2036482375MaRDI QIDQ3650467

Fu-Lin Zhang, Jing-Ling Chen

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0805.4723

zbMATH Keywords

harmonic oscillatorsSchrödinger equationrelativistic quantum mechanicsalgebraSU(2) theorymathematical operatorsSO(3) groups

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Klein-Gordon equation with superintegrable systems: Kepler-Coulomb, harmonic oscillator, and hyperboloid ⋮ Dirac equation with anisotropic oscillator, quantum E3′ and Holt superintegrable potentials and relativistic generalized Yang–Coulomb monopole system ⋮ Solution of the Dirac equation with some superintegrable potentials by the quadratic algebra approach ⋮ New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential ⋮ Quadratic algebra approach to relativistic quantum Smorodinsky–Winternitz systems

Cites Work

• Dynamical symmetries of two-dimensional systems in relativistic quantum mechanics
• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Scattering states of the Klein-Gordon equation with Coulomb-like scalar plus vector potentials in arbitrary dimension
• Bound states of the Klein-Gordon equation with vector and scalar Rosen-Morse-type potentials
• Bound states of the Dirac equation with vector and scalar Scarf-type potentials
• THE “HIGGS ALGEBRA” AS A ‘QUANTUM’ DEFORMATION OF SU(2)
• Dynamical symmetries in a spherical geometry. I
• Exact solution of the Dirac–Eckart problem with spin and pseudospin symmetry

This page was built for publication: Dynamical symmetries of the Klein–Gordon equation