Symmetries of the Schrödinger–Pauli equation for neutral particles
Copyright policy )Symmetries of the Schrödinger–Pauli equation for neutral particles
By using the algebraic approach, the Lie symmetries of Schrödinger equations with matrix potentials are classified. Thirty three inequivalent equations of such type together with the related symmetry groups are specified, and the admissible equivalence relations are clearly indicated. In particular, the Boyer results concerning kinematical invariance groups for arbitrary potentials [C. P. Boyer, Helv. Phys. Acta 47, 450–605 (1974)] are clarified and corrected.
- Czech Academy of Sciences Czech Republic
- Institute of Mathematics Belarus
- National Academy of Sciences of Ukraine
- National Academy of Sciences of Belarus Belarus
- Institute of Mathematics Poland
Finite-dimensional groups and algebras motivated by physics and their representations, Operator algebra methods applied to problems in quantum theory, Applications of Lie groups to the sciences; explicit representations, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Spinor and twistor methods applied to problems in quantum theory, Boyer kinematical invariance, Mathematical Physics
Finite-dimensional groups and algebras motivated by physics and their representations, Operator algebra methods applied to problems in quantum theory, Applications of Lie groups to the sciences; explicit representations, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Spinor and twistor methods applied to problems in quantum theory, Boyer kinematical invariance, Mathematical Physics
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