Generalized Weyl quantization on the cylinder and quantum phase
Mathematical Physics
2015-06-15 v1 math.MP
Abstract
Generalized Weyl quantization formalism for the cylindrical phase space is developed. It is shown that the quantum observables relevant to the phase of linear harmonic oscillator or electromagnetic field can be represented within this formalism by the self-adjoint operators on the Hilbert space .
Cite
@article{arxiv.1302.2800,
title = {Generalized Weyl quantization on the cylinder and quantum phase},
author = {Maciej Przanowski and Przemysław Brzykcy},
journal= {arXiv preprint arXiv:1302.2800},
year = {2015}
}