Dynamical equations, invariants and spectrum generating algebras of mechanical systems with position-dependent mass

DOI10.3842/SIGMA.2013.004zbMath1291.70005arXiv1208.2300MaRDI QIDQ352452

Sara Cruz y Cruz, Oscar Rosas-Ortiz

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2300

zbMATH Keywords

dissipative dynamical systemsfactorization methodPoisson algebrasposition-dependent massclassical generating algebrasPöschl-Teller potentials

Mathematics Subject Classification ID

Hamilton's equations (70H05) Variable mass, rockets (70P05) Kinematics of mechanisms and robots (70B15) Dynamical systems in classical and celestial mechanics (37N05) Lagrange's equations (70H03)

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Position-dependent mass Dirac equation and local Fermi velocity ⋮ Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses ⋮ A position-dependent mass harmonic oscillator and deformed space ⋮ Position-Dependent Mass Systems: Classical and Quantum Pictures ⋮ Generalized space and linear momentum operators in quantum mechanics ⋮ Symmetries of the Schrödinger–Pauli equation for neutral particles ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ On quantized Liénard oscillator and momentum dependent mass ⋮ Superintegrable systems with position dependent mass ⋮ so(2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation ⋮ Quantum and semi-classical aspects of confined systems with variable mass ⋮ Quantum smooth boundary forces from constrained geometries ⋮ Some theory and applications of 2N-dimensional canonical systems: periodic and nonperiodic

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