Position-Dependent Mass Systems: Classical and Quantum Pictures

2020/01/01 by Oscar Rosas-Ortiz, Óscar Rosas-Ortiz
Physics and Astronomy · #Classical mechanics #Classical physics #Computer science #Geology #Physics #Position (finance) #Quantum #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Series (stratigraphy) #Theoretical physics #physics.class-ph #quant-ph

paper · pdf · doi:10.1007/978-3-030-53305-2_24

published as Geometric Methods in Physics XXXVIII. Trends in Mathematics. Birkhäuser, Cham, 2020, pp 351-361 · 12 pages, no figures

openalex publication_date 2020/01/01 · arxiv created 2020/01/24 · arxiv updated 2020/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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)

Citations

• Radial power-law position-dependent mass: cylindrical coordinates, separability and spectral signatures
• COHERENT STATE OF THE EFFECTIVE MASS HARMONIC OSCILLATOR
• Kepler's problem in constant curvature spaces
• Possible Explanation of the Solar-Neutrino Puzzle
• One dimensional Newton's equation with variable mass
• Generalized space and linear momentum operators in quantum mechanics