Algebra of Symmetry Operators for Klein-Gordon-Fock Equation
В. В. Обухов
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 Vn, in which the group Gr 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 Gr.
Topics & Concepts
Fock spaceMathematicsKlein–Gordon equationSubspace topologyMathematical physicsGroup (periodic table)Symmetry (geometry)Algebra over a fieldSpace (punctuation)Pure mathematicsSymmetry groupTransitive relationPhysicsQuantum mechanicsMathematical analysisCombinatoricsGeometryPhilosophyNonlinear systemLinguisticsQuantum chaos and dynamical systemsQuantum Mechanics and Non-Hermitian PhysicsQuantum Mechanics and Applications