English

Coherent states and related quantizations for unbounded motions

Quantum Physics 2015-06-03 v2

Abstract

We build coherent states (CS) for unbounded motions along two different procedures. In the first one we adapt the Malkin-Manko construction for quadratic Hamiltonians to the motion of a particle in a linear potential. A generalization to arbitrary potentials is discussed. The second one extends to continuous spectrum previous constructions of action-angle coherent states in view of a consistent energy quantization.

Keywords

Cite

@article{arxiv.1201.0955,
  title  = {Coherent states and related quantizations for unbounded motions},
  author = {V. G. Bagrov and J. -P. Gazeau and D. M. Gitman and A. D. Levin},
  journal= {arXiv preprint arXiv:1201.0955},
  year   = {2015}
}