English

On the notion of phase in mechanics

Quantum Physics 2009-11-10 v1

Abstract

The notion of phase plays an esential role in both classical and quantum mechanics.But what is a phase? We show that if we define the notion of phase in phase (!) space one can very easily and naturally recover the Heisenberg-Weyl formalism; this is achieved using the properties of the Poincare-Cartan invariant, and without making any quantum assumption.

Keywords

Cite

@article{arxiv.quant-ph/0404072,
  title  = {On the notion of phase in mechanics},
  author = {Maurice de Gosson},
  journal= {arXiv preprint arXiv:quant-ph/0404072},
  year   = {2009}
}