Algebra of symmetry operators for Klein-Gordon-Fock equation

2021/04/15 by V. V. Obukhov, Obukhov, V. V. · 1 citation
Mathematics · Physics and Astronomy · #70H20 Hamilton-Jacobi equations. 70H33 Symmetries and conservation laws. 81Q05 Solutions to the Klein-Gordon and other equations of quantum mechanics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #gr-qc #hep-th #math-ph #math.MP #msc:70H20 #msc:70H33 #msc:81Q05

paper · pdf · doi:10.48550/arxiv.2104.07584

Accepted in Symmetry

arxiv created 2021/04/15 · openalex publication_date 2021/04/15 · arxiv updated 2021/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

All external electromagnetic fields in which the Klein-Gordon-Fock equation admits the first-order symmetry operators are found, provided that in the space-time V₄ a group of motion G₃ acts simply transitively on a non-null subspace of transitivity V₃. It is shown that in the case of a Riemannian space V_n, in which the group G_r acts simply transitively, the algebra of symmetry operators of the n-dimensional Klein-Gordon-Fock equation in an external admissible electromagnetic field coincides with the algebra of operators of the group G_r.

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• An Algebraic-Recursive Approach to Generate Higher-Order Symmetry Operators for Schrödinger and Klein-Gordon equations

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