English

Squeezed coherent states for a free particle with time-varying mass

Quantum Physics 2023-05-02 v2 High Energy Physics - Theory

Abstract

We obtain the squeezed coherent states (SCS) for a free particle with exponentially time-varying mass. We write these states in terms of the squeeze and displacement parameters on the time-independent Fock states. Thus, we find a condition on the displacement parameter such that the SCS can be considered semiclassical states. We show that it is possible to obtain the coherent states (CS) for a free particle with minimal uncertainty as long as the mass increases with the time. We analyze the transition probability of a system initially prepared in the time-independent Fock states to the free particle SCS.

Keywords

Cite

@article{arxiv.2208.05588,
  title  = {Squeezed coherent states for a free particle with time-varying mass},
  author = {A. S. Pereira and A. S. Lemos and F. A. Brito},
  journal= {arXiv preprint arXiv:2208.05588},
  year   = {2023}
}

Comments

25 pages, 4 figures