Spectrum of the harmonic oscillator in a general noncommutative phase space
arXiv:1108.1585
Abstract
Harmonic oscillator, in 2-dimensional noncommutative phase space with non-vanishing momentum-momentum commutators, is studied using an algebraic approach. The corresponding eigenvalue problem is solved and discussed.
References in corpus (8)
- Deformation quantization of Poisson manifolds, I
- Features of Time-independent Wigner Functions
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
- Deformation quantization in the teaching of quantum mechanics
- Vacuum configurations for renormalizable non-commutative scalar models
- Deformed squeezed states in noncommutative phase space
- Harmonic Oscillator States with Non-Integer Orbital Angular Momentum