Generalized space and linear momentum operators in quantum mechanics

DOI10.1063/1.4884299zbMath1304.81103arXiv1305.6307OpenAlexW2952318136MaRDI QIDQ5171392

Bruno G. da Costa, Ernesto P. Borges

Publication date: 26 July 2014

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

Full work available at URL: https://arxiv.org/abs/1305.6307

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items

On a connection between a class of \(q\)-deformed algebras and the Hausdorff derivative in a medium with fractal metric, Exact solution and coherent states of an asymmetric oscillator with position-dependent mass, Algebraic structures and position-dependent mass Schrödinger equation from group entropy theory, Position-dependent mass in strong quantum gravitational background fields, Bohmian formalism and Fisher information from \(q\)-deformed Schrödinger equation, Information-theoretic measures for a position-dependent mass system in an infinite potential well, Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping, Acceleration in quantum mechanics and electric charge quantization, Extended-localized transition for a tight-binding model with mass position dependence, A generalized Vitali set from nonextensive statistics, Inhomogeneous Fokker-Planck equation from framework of Kaniadakis statistics, Path integral for quantum dynamics with position-dependent mass within the displacement operator approach, κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass, A position-dependent mass harmonic oscillator and deformed space, Position-Dependent Mass Systems: Classical and Quantum Pictures, Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass, Inter-occurrence times and universal laws in finance, earthquakes and genomes, Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations

Cites Work

• Dynamical equations, invariants and spectrum generating algebras of mechanical systems with position-dependent mass
• Generalized algebra within a nonextensive statistics
• Possible generalization of Boltzmann-Gibbs statistics.
• Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups
• On aq-generalization of circular and hyperbolic functions
• Nonlinear Schroedinger equation in the presence of uniform acceleration
• Nonlinear quantum equations: Classical field theory