English

Breakdown of Ehrenfest theorem for free particle constrained on a hypersurface

Quantum Physics 2018-02-07 v1 Mathematical Physics math.MP

Abstract

There is a belief that the Ehrenfest theorem holds true universally. We demonstrate that for a classically nonrelativistic particle constrained on an N1N-1 (N2N\geq 2) curved hypersurface embedded in NN flat space, the theorem breaks down.

Keywords

Cite

@article{arxiv.1802.01849,
  title  = {Breakdown of Ehrenfest theorem for free particle constrained on a hypersurface},
  author = {Q. Li and Z. Li and X. Wang and Q. H. Liu},
  journal= {arXiv preprint arXiv:1802.01849},
  year   = {2018}
}

Comments

3 pages, no figure