English

Trajectory-coherent states and the Heisenberg's uncertainty relation

Quantum Physics 2007-05-23 v1

Abstract

In this paper we investigate the problem of minimization the Heisenberg's uncertainty relation by the trajectory-coherent states. The conditions of minimization for Hamiltonian and trajectory are obtained. We show that the trajectory-coherent states minimize the Heisenberg's uncertainty relation for special Cauchy problem for the Schr\"{o}dinger equation only.

Cite

@article{arxiv.quant-ph/9702010,
  title  = {Trajectory-coherent states and the Heisenberg's uncertainty relation},
  author = {A. G. Karavayev},
  journal= {arXiv preprint arXiv:quant-ph/9702010},
  year   = {2007}
}

Comments

6 pages LaTex,no figures

R2 v1 2026-07-22T20:01:58.850Z