Symmetries of the Schrödinger–Pauli equation for neutral particles

DOI10.1063/5.0021725zbMath1472.81084arXiv2004.08305OpenAlexW3194043239MaRDI QIDQ4958136

Anatolia G. Nikitin

Publication date: 6 September 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08305

zbMATH Keywords

Boyer kinematical invariance

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Spinor and twistor methods applied to problems in quantum theory (81R25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (4)

Symmetries of Schrödinger–Pauli equations for charged particles and quasirelativistic Schrödinger equations ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups ⋮ Superintegrable and scale-invariant quantum systems with position-dependent Mass

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical equations, invariants and spectrum generating algebras of mechanical systems with position-dependent mass
• Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. I: Generalized Ginzburg-Landau equations
• Generalised Darboux-Koenigs metrics and 3-dimensional superintegrable systems
• Superintegrable systems on 3 dimensional conformally flat spaces
• Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions
• Group classification of Schrödinger equations with position dependent mass
• Superintegrable systems with spin invariant with respect to the rotation group
• Classical and quantum superintegrability with applications
• Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles
• Matrix superpotentials and superintegrable systems for arbitrary spin
• Enhanced classification of matrix superpotentials
• Superintegrable and shape invariant systems with position dependent mass
• ALGEBRAS OF DISCRETE SYMMETRIES AND SUPERSYMMETRIES FOR THE SCHRÖDINGER–PAULI EQUATION
• Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation
• A systematic study on the exact solution of the position dependent mass Schr dinger equation
• A class of solvable Lie algebras and their Casimir invariants
• Extended supersymmetries for the Schrödinger–Pauli equation
• Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
• New exactly solvable systems with Fock symmetry
• Higher Order Quantum Superintegrability: A New “Painlevé Conjecture”
• Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass
• The Maximal "Kinematical" Invariance Group for an Arbitrary Potential Revised
• Superintegrable systems with position dependent mass
• Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses
• Laplace-Runge-Lenz vector for arbitrary spin
• Computation of invariants of Lie algebras by means of moving frames
• Symmetries of Schrödinger equation with scalar and vector potentials
• The structure of Lie algebras and the classification problem for partial differential equations

This page was built for publication: Symmetries of the Schrödinger–Pauli equation for neutral particles