Exact solutions of Klein–Gordon equations in external electromagnetic fields on 3D de Sitter background

DOI10.1063/5.0023795zbMath1465.81037arXiv2008.00184OpenAlexW3046469093MaRDI QIDQ4991023

M. N. Boldyreva, Alexey A. Magazev

Publication date: 2 June 2021

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

Full work available at URL: https://arxiv.org/abs/2008.00184

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Equations of motion in general relativity and gravitational theory (83C10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

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• Integrating Klein-Gordon-Fock equations in an external electromagnetic field on Lie groups
• Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
• Simplifying the form of Lie groups admitted by a given differential equation
• Stäckel spaces
• Quantum Hamiltonian systems on \(K\)-orbits: semiclassical spectrum of the asymmetric top
• Darboux coordinates on \(K\)-orbits and the spectra of Casimir operators on Lie groups
• Algebraic method for group classification of \((1+1)\)-dimensional linear Schrödinger equations
• Dirac fields in 3D de Sitter spacetime
• Noncommutative integration of linear differential equations
• Black holes, hidden symmetries, and complete integrability
• Exact solution of Dirac and Klein-Gordon-Fock equations in a curved space admitting a second Dirac operator
• PARTICLE PRODUCTION IN COSMOLOGICAL SPACETIMES WITH ELECTROMAGNETIC FIELDS
• The scalar wave equation on static de Sitter and anti-de Sitter spaces
• New solutions of relativistic wave equations in magnetic fields and longitudinal fields
• On Bound States and Scattering in Positron Theory
• Quantum Fields in Curved Space

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