New solutions of relativistic wave equations in magnetic fields and longitudinal fields

DOI10.1063/1.1461428zbMath1059.81034arXivhep-th/0110037OpenAlexW3103257164MaRDI QIDQ4830800

M. C. Baldiotti, Vladislav G. Bagrov, Igor V. Shirokov, Dmitri M. Gitman

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/hep-th/0110037

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Coherent states (81R30) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (7)

Interpretation of quantum numbers in the problem of charge motion in a constant uniform magnetic field ⋮ The states of an electron moving in a uniform magnetic field. The coupling between its oscillations and rotation ⋮ Integrating Klein-Gordon-Fock equations in an external electromagnetic field on Lie groups ⋮ Structure of the electromagnetic field allowing exact solution of the Schrödinger equation in superposition with an Aharonov-Bohm field ⋮ Quantum mechanics of Klein-Gordon fields. II: Relativistic coherent states ⋮ Exact solutions of Klein–Gordon equations in external electromagnetic fields on 3D de Sitter background ⋮ Quantum motion in superposition of Aharonov–Bohm with some additional electromagnetic fields

Cites Work

• Shirokov algebras. I
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