English

Quantum mechanics in phase space: First order comparison between the Wigner and the Fermi function

Quantum Physics 2010-03-02 v2

Abstract

The Fermi g_F(x,p) function provides a phase space description of quantum mechanics conceptually different from that based on the the Wigner function W(x,p). In this paper, we show that for a peaked wave packet the g_F(x,p)=0 curve approximately corresponds to a phase space contour level of the Wigner function and provides a satisfactory description of the wave packet's size and shape. Our results show that the Fermi function is an interesting tool to investigate quantum fluctuations in the semiclassical regime.

Keywords

Cite

@article{arxiv.0906.0925,
  title  = {Quantum mechanics in phase space: First order comparison between the Wigner and the Fermi function},
  author = {G. Benenti and G. Strini},
  journal= {arXiv preprint arXiv:0906.0925},
  year   = {2010}
}

Comments

5 pages, 3 figures, added new data and discussion

R2 v1 2026-06-21T13:09:40.356Z