English

How to prepare quantum states that follow classical paths

Quantum Physics 2010-12-01 v2

Abstract

We present an alternative quantization procedure for the one-dimensional non-relativistic quantum mechanics. We show that, for the case of a free particle and a particle in a box, the complete classical and quantum correspondence can be obtained using this formulation. The resulting wave packets do not disperse and strongly peak on the classical paths. Moreover, for the case of the free particle, they satisfy minimum uncertainty relation.

Keywords

Cite

@article{arxiv.1001.0308,
  title  = {How to prepare quantum states that follow classical paths},
  author = {Pouria Pedram},
  journal= {arXiv preprint arXiv:1001.0308},
  year   = {2010}
}

Comments

10 pages, 3 figures, to appear in Europhysics Letters

R2 v1 2026-06-21T14:30:14.741Z