Symmetries of the Schroedinger-Pauli equations for charged particles and quasirelativistic Schroedinger equations
A.G. Nikitin
TL;DR
This paper classifies Lie symmetries of Schroedinger-Pauli and quasirelativistic Schroedinger equations, discovering a new superintegrable system with spin-orbit coupling, advancing understanding of symmetries in quantum systems.
Contribution
It provides a comprehensive classification of symmetries and introduces a novel superintegrable system with spin-orbit interaction.
Findings
Classification of Lie symmetries for the equations
Discovery of a new superintegrable system with spin-orbit coupling
Enhanced understanding of quantum symmetries
Abstract
Lie symmetries of the Schroedinger-Pauli equations for charged particles and quasirelativistic Schroedinger equations are classified. In particular a new superintegrable system with spin-orbit coupling is discovered.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Nonlinear Waves and Solitons · Quantum chaos and dynamical systems