Klein-Gordon equation for a charged particle in space-varying electromagnetic fields-a systematic study via the Laplace transform

DOI10.1016/j.cjph.2016.12.008arXiv1612.02293OpenAlexW2559845225MaRDI QIDQ6122700

Tapas K. Das, Altuğ Arda

Publication date: 1 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02293

zbMATH Keywords

Klein-Gordon equationelectromagnetic fieldLaplace transformation approach

Mathematics Subject Classification ID

Sequences and sets (11Bxx) Applications of quantum theory to specific physical systems (81Vxx) General and miscellaneous specific topics (00Axx)

Cites Work

• Exact solutions of the Schrödinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials
• Spinless particles in exponentially varying electric and magnetic fields
• A Laplace transform approach to find the exact solution of the \(N\)-dimensional Schrödinger equation with Mie-type potentials and construction of Ladder operators
• Shape invariance approach to exact solutions of the Klein-Gordon equation
• Klein-Gordon particles in mixed vector-scalar inversely linear potentials
• Solution of the Klein-Gordon for exponential scalar and vector potentials
• Relativistic Treatment of Spinless Particles Subject to aq-Deformed Morse Potential
• On the properties of the Volkov solutions of the Klein–Gordon equation
• Exact Solution of Klein–Gordon Equation for Charged Particle in Magnetic Field with Shape Invariant Method
• A numerical solution of Schroedinger's equation in the continuum
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