Oscillator model on Lie-algebraically deformed nonrelativistic space-time

Abstract

The classical and quantum oscillator model on Lie-algebraically deformed nonrelativistic space-time is introduced and analyzed. The corresponding equations of motions are studied using mostly numerical methods. The time-dependent energy spectrum is presented as well.

17 pages, 6 figures, the paper accepted for publication in Acta Physica Polonica B

References in corpus (4)

• Deformed Coordinate Spaces; Derivatives
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Noncommutative oscillator, symmetry and Landau problem
• Noncommutative Lagrange Mechanics

Cited by in corpus (3)

• Classical mechanics of many particles defined on canonically deformed nonrelativistic space-time
• Classical Mechanics on Noncommutative Space with Lie-algebraic Structure
• Equivalent forces in Newton equation from twist deformations and noninertial coordinate frames