Dynamical noncommutative quantum mechanics

Abstract

We study some basic and interesting quantum mechanical systems in dynamical noncommutative spaces in which the space- space commutation relations are position dependent. It is observed that the fundamental objects in the dynamical noncommutative space introduced here are stringlike. We show that the Stark effect can be employed to determine whether the noncommutativity of space is dynamical or non-dynamical. It appears that unlike non-dynamical case there is a fundamental energy $\frac{\tau {\hslash }^2}{m}$ in this dynamical space.}

11 pages, no figures, replaced with the version accepted for publication in "Journal of Physics A: Mathematical and Theoretical"

References in corpus (2)

• Position-dependent noncommutativity in quantum mechanics
• Landau Problem in Noncommutative Quantum Mechanics

Cited by in corpus (8)

• A comparative review of four formulations of noncommutative quantum mechanics
• Energy-dependent noncommutative quantum mechanics
• Two-dimensional Noncommutative Gravitational Quantum Well
• Dynamical Noncommutative Graphene
• Minimal and maximal lengths from position-dependent noncommutativity
• Noncommutative Geometry and Fluid Dynamics
• Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces
• Gravitational radiation in dynamical noncommutative spaces