Deformed Heisenberg algebra and minimal length

DOI10.1088/1751-8113/45/7/075309zbMath1236.81138arXiv1201.5545OpenAlexW3100120943MaRDI QIDQ3224933

V. M. Tkachuk, Tomasz Masłowski, Anatol Nowicki

Publication date: 13 March 2012

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

Full work available at URL: https://arxiv.org/abs/1201.5545

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60) Operator algebra methods applied to problems in quantum theory (81R15) Quantizations, deformations for selfadjoint operator algebras (46L65) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (13)

Nonstandard deformed oscillators from \(q\)- and \(p,q\)-deformations of Heisenberg algebra ⋮ Information measures of a deformed harmonic oscillator in a static electric field ⋮ The GUP for non-relativistic Feynman propagator with energy-dependent mass ⋮ Exact solutions for two-body problems in 1D deformed space with minimal length ⋮ Kinetic energy properties and weak equivalence principle in a space with generalized uncertainty principle ⋮ Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators ⋮ Regularization of 1/X2 potential in general case of deformed space with minimal length ⋮ Investigation of Heisenberg algebra for a modified anti-de Sitter and modified anti-Snyder models ⋮ Exact continuity equation in a space with minimal length ⋮ Leibniz algebras of Heisenberg type ⋮ One-dimensional Coulomb-like problem in general case of deformed space with minimal length ⋮ Generalized Uncertainty Principle and Extra Dimensions ⋮ Regularization of δ′ potential in general case of deformed space with minimal length

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