Position-dependent mass systems: Classical and quantum pictures
arXiv:2002.02297 · doi:10.1007/978-3-030-53305-2_24
Abstract
Extended abstract of "Algebraic approach to position-dependent mass systems in both classical and quantum pictures", a series of three lectures delivered by the author in the VIII School on Geometry and Physics, 24 June-8 June 2019, organized by the Department of Mathematical Physics of the University of Bialystok, in Bialowieza, Poland (http://wgmp.uwb.edu.pl/wgmp38/part_s.html)
12 pages, no figures
References in corpus (8)
- Position Dependent Mass Oscillators and Coherent States
- Factorizations of one dimensional classical systems
- PDM creation and annihilation operators of the harmonic oscillators and the emergence of an alternative PDM-Hamiltonian
- Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical Systems with Position-Dependent Mass
- Algebraic solutions of shape-invariant position-dependent effective mass systems
- A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum
- Coherent and squeezed states: introductory review of basic notions, properties and generalizations
- On the n-dimensional extension of Position-dependent mass Lagrangians: nonlocal transformations, Euler--Lagrange invariance and exact solvability