Symmetries of the Schroedinger-Pauli equations for charged particles and quasirelativistic Schroedinger equations

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.

misprints are corrected

References in corpus (7)

• Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
• Symmetries of Schroedinger equation with scalar and vector potentials
• Higher Order Quantum Superintegrability: a new "Painlevé conjecture"
• Superintegrable systems with spin and second-order (pseudo)tensor integrals of motion
• Symmetries of the Schroedinger-Pauli equation for neutral particles
• Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators
• Higher order superintegrability, Painlevé transcendents and representations of polynomial algebras

Cited by in corpus (4)

• Dunkl-Pauli Equation in the Presence of a Magnetic Field
• Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups
• Time-dependent Dunkl-Pauli Oscillator
• Integrable and superintegrable quantum mechanical systems with position dependent masses invariant with respect to one parametric Lie groups. 2. Systems with dilatation and shift symmetries