Superintegrable and scale-invariant quantum systems with position-dependent Mass

DOI10.1007/S11253-022-02072-8OpenAlexW4307818632MaRDI QIDQ2094924

Anatolia G. Nikitin

Publication date: 8 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02072-8

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Groups and algebras in quantum theory (81Rxx) General mathematical topics and methods in quantum theory (81Qxx)

Related Items (2)

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

Cites Work

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• A family of exactly solvable radial quantum systems on space of non-constant curvature with accidental degeneracy in the spectrum
• Superintegrable oscillator and Kepler systems on spaces of nonconstant curvature via the Stäckel transform
• Generalized Killing tensors of arbitrary rank and order
• Toward classification of 2nd order superintegrable systems in 3-dimensional conformally flat spaces with functionally linearly dependent symmetry operators
• Structure relations and Darboux contractions for 2D 2nd order superintegrable systems
• Superintegrable and shape invariant systems with position dependent mass
• Symmetries of the Schrödinger–Pauli equation for neutral particles
• Higher Order Quantum Superintegrability: A New “Painlevé Conjecture”
• Symmetries of Schrödinger–Pauli equations for charged particles and quasirelativistic Schrödinger equations
• Exact solvability of PDM systems with extended Lie symmetries
• 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
• Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
• Symmetries of Schrödinger equation with scalar and vector potentials

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