TWO COUPLED HARMONIC OSCILLATORS ON NONCOMMUTATIVE PLANE

DOI10.1142/S0217751X05020835zbMath1081.81067arXivhep-th/0309105OpenAlexW3099237608MaRDI QIDQ4678425

E. H. El Kinani, Ahmed Jellal, Michael Schreiber

Publication date: 23 May 2005

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0309105

zbMATH Keywords

quantum mechanicsnoncommutative planeHarmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Noncommutative geometry in quantum theory (81R60)

Related Items (8)

System of interacting harmonic oscillators in rotationally invariant noncommutative phase space ⋮ Non-commutative space engine: A boost to thermodynamic processes ⋮ THREE-DIMENSIONAL KLEIN–GORDON OSCILLATOR IN A BACKGROUND MAGNETIC FIELD IN NONCOMMUTATIVE PHASE SPACE ⋮ Noncommutative anisotropic oscillator in a homogeneous magnetic field ⋮ Purity temperature dependency for coupled harmonic oscillator ⋮ THE EIGENVALUES OF TWO MODES COUPLED HARMONIC OSCILLATORS IN NONCOMMUTATIVE PHASE-SPACE ⋮ The non-commutative oscillator, symmetry and the Landau problem ⋮ INVERSE SQUARE PROBLEM AND so(2, 1) SYMMETRY IN NONCOMMUTATIVE SPACE

Cites Work

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• On the Quantum Correction For Thermodynamic Equilibrium
• O(3,3)-like symmetries of coupled harmonic oscillators
• WIGNER FUNCTIONS FOR THE LANDAU PROBLEM IN NONCOMMUTATIVE SPACES
• A Remarkable Representation of the 3 + 2 de Sitter Group
• INFORMATION CONTENTS OF DISTRIBUTIONS

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