中文

Geometric Dequantization

量子物理 2009-11-10 v1 高能物理 - 理论

摘要

Dequantization is a set of rules which turn quantum mechanics (QM) into classical mechanics (CM). It is not the WKB limit of QM. In this paper we show that, by extending time to a 3-dimensional "supertime", we can dequantize the system in the sense of turning the Feynman path integral version of QM into the functional counterpart of the Koopman-von Neumann operatorial approach to CM. Somehow this procedure is the inverse of geometric quantization and we present it in three different polarizations: the Schroedinger, the momentum and the coherent states ones.

关键词

引用

@article{arxiv.quant-ph/0406028,
  title  = {Geometric Dequantization},
  author = {A. A. Abrikosov and E. Gozzi and D. Mauro},
  journal= {arXiv preprint arXiv:quant-ph/0406028},
  year   = {2009}
}

备注

50+1 pages, Latex