Landau energy spectrum and quantum oscillator model for twisted N-enlarged Newton-Hooke space-time

TL;DR

This paper derives the Landau energy spectrum and quantum oscillator model in twisted N-enlarged Newton-Hooke space-time, revealing time-dependent eigenvalues and states, and connecting to Landau levels under specific conditions.

Contribution

It introduces a novel quantum oscillator model on twisted N-enlarged Newton-Hooke space-time with explicit time-dependent energy spectra.

Findings

Derived time-dependent Landau-like energy spectrum.

Established correspondence with Landau levels for specific parameters.

Presented explicit time-dependent eigenstates.

Abstract

We derive the energy levels for oscillator model defined on the twisted N-enlarged Newton-Hooke space-time, i.e., we find time-dependent eigenvalues and corresponding time-dependent eigenstates. We also demonstrate that for a particular choice of deformation parameters of phase space the above spectrum can be identified with the time-dependent Landau one.