English

Time Crystals and Phase-Space Noncommutative Quantum Mechanics

Quantum Physics 2024-02-29 v1

Abstract

We argue that time crystal properties naturally arise from phase-space noncommutative quantum mechanics. In order to exemplify our point we consider the 2-dimensional noncommutative quantum harmonic oscillator and show that it exibihits periodic oscillations that can be identified as time crystals.

Keywords

Cite

@article{arxiv.2402.18238,
  title  = {Time Crystals and Phase-Space Noncommutative Quantum Mechanics},
  author = {Orfeu Bertolami and A. E. Bernardini},
  journal= {arXiv preprint arXiv:2402.18238},
  year   = {2024}
}

Comments

11 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2207.00346

R2 v1 2026-06-28T15:03:06.951Z