Laplace-Runge-Lenz vector in quantum mechanics in noncommutative space

DOI10.1063/1.4835615zbMath1288.81061arXiv1309.4614OpenAlexW2033090683MaRDI QIDQ5412815

Veronika Gáliková, Samuel Kováčik, P. Prešnajder

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1309.4614

zbMATH Keywords

hydrogen atomnoncommutative quantum mechanicsthe Laplace-Runge-Lenz vector

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60)

Related Items (17)

Noncommutative \( {{\mathbb{R}}}^d \) via closed star product ⋮ Eigenvalue problem for radial potentials in space with SU(2) fuzziness ⋮ Noncommutative anisotropic oscillator in a homogeneous magnetic field ⋮ Magnetic monopoles in noncommutative quantum mechanics 2 ⋮ ‐Bootstrap Approach to Non‐Commutative Gauge Theories ⋮ Computer algebra in physics: the hidden SO(4) symmetry of the hydrogen atom ⋮ Involutive representations of coordinate algebras and quantum spaces ⋮ Magnetic monopoles in noncommutative quantum mechanics ⋮ Rλ3-inspired black holes ⋮ Tensor-product representation of Laplace-Runge-Lenz vector for two-body Kepler systems ⋮ A novel approach to non-commutative gauge theory ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Poisson gauge theory ⋮ The velocity operator in quantum mechanics in noncommutative space ⋮ MICZ-Kepler systems in noncommutative space and duality of force laws ⋮ Four-dimensional noncommutative deformations of U(1) gauge theory and \(L_\infty\) bootstrap. ⋮ Physics of the \(\mathrm{so}_q(4)\) hydrogen atom

Cites Work

• General concept of quantization
• The construction of noncommutative manifolds using coherent states
• Finite quantum field theory in noncommutative geometry
• The commutative limit of a matrix geometry
• Noncommutative differential geometry of matrix algebras
• Coulomb problem in non-commutative quantum mechanics
• The velocity operator in quantum mechanics in noncommutative space

This page was built for publication: Laplace-Runge-Lenz vector in quantum mechanics in noncommutative space