It is shown in first order perturbation theory that anharmonic oscillators in non-commutative space behave smoothly in the commutative limit just as harmonic oscillators do. The non-commutativity provides a method for converting a problem in degenerate perturbation theory to a non-degenerate problem
The noncommutative harmonic oscillator in arbitrary dimension is examined. It is shown that the $\st...
Non-commutative harmonic oscillators and Fuchsian ordinary differential operators HIROYUKI OCHIAI $(...
Energy spectrum of isotropic oscillator as a function of noncommutativity parameter theta is studied...
Harmonic oscillator in noncommutative two dimensional lattice are investigated. Using the properties...
We consider a model of non-commutative quantum mechanics given by two harmonic oscillators over a no...
Abstract. In this paper we analyzed the Dirac equation using the non-commutative harmonic oscillator...
International audienceWe present the path integral techniques in a non-commutative phase space and i...
This paper is mainly meant to be a survey on the state-of-the-art of the understanding we have of a ...
The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(a...
This is a review paper concerned with the global consistency of the quantum dynamics of non-commutat...
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a backgro...
We find transformation matrices allowing to express non-commutative three dimensional harmonic oscil...
We use -after a shift transformation of the variable- the Burrows, Cohen and Feldmann approximation ...
We demonstrate how a one parameter family of interacting non-commuting Hamiltonians, which are physi...
We study the 1/N expansion in noncommutative quantum mechanics for the anharmonic and Coulombian pot...
The noncommutative harmonic oscillator in arbitrary dimension is examined. It is shown that the $\st...
Non-commutative harmonic oscillators and Fuchsian ordinary differential operators HIROYUKI OCHIAI $(...
Energy spectrum of isotropic oscillator as a function of noncommutativity parameter theta is studied...
Harmonic oscillator in noncommutative two dimensional lattice are investigated. Using the properties...
We consider a model of non-commutative quantum mechanics given by two harmonic oscillators over a no...
Abstract. In this paper we analyzed the Dirac equation using the non-commutative harmonic oscillator...
International audienceWe present the path integral techniques in a non-commutative phase space and i...
This paper is mainly meant to be a survey on the state-of-the-art of the understanding we have of a ...
The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(a...
This is a review paper concerned with the global consistency of the quantum dynamics of non-commutat...
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a backgro...
We find transformation matrices allowing to express non-commutative three dimensional harmonic oscil...
We use -after a shift transformation of the variable- the Burrows, Cohen and Feldmann approximation ...
We demonstrate how a one parameter family of interacting non-commuting Hamiltonians, which are physi...
We study the 1/N expansion in noncommutative quantum mechanics for the anharmonic and Coulombian pot...
The noncommutative harmonic oscillator in arbitrary dimension is examined. It is shown that the $\st...
Non-commutative harmonic oscillators and Fuchsian ordinary differential operators HIROYUKI OCHIAI $(...
Energy spectrum of isotropic oscillator as a function of noncommutativity parameter theta is studied...
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