English

Minimum Uncertainty, Coherence and Squeezing in Diffusion Processes, and Stochastic Quantization

High Energy Physics - Theory 2007-05-23 v1 Condensed Matter

Abstract

We show that uncertainty relations, as well as minimum uncertainty coherent and squeezed states, are structural properties for diffusion processes. Through Nelson stochastic quantization we derive the stochastic image of the quantum mechanical coherent and squeezed states.

Keywords

Cite

@article{arxiv.hep-th/9310109,
  title  = {Minimum Uncertainty, Coherence and Squeezing in Diffusion Processes, and Stochastic Quantization},
  author = {Salvatore De Martino and Silvio De Siena and Fabrizio Illuminati and Giuseppe Vitiello},
  journal= {arXiv preprint arXiv:hep-th/9310109},
  year   = {2007}
}

Comments

6 pages (LaTeX), to appear in Proceedings of the Third International Workshop on Squeezed States and Uncertainty Relations, NASA Conference Publications (in print)