States in the Hilbert space formulation and the phase space formulation of quantum mechanics
Mathematical Physics
2015-06-11 v1 math.MP
Quantum Physics
Abstract
W consider the problem of testing if a given matrix in the Hilbert space formulation of quantum mechanics or a function in the phase space formulation of quantum theory represent a quantum state. We propose several practical criteria to recognise states in these both versions of quantum physics. After minor modifications they can be applied to check positivity of any operators acting in a Hilbert space or positivity of any functions from an algebra with a Weyl type * -- product.
Keywords
Cite
@article{arxiv.1210.7672,
title = {States in the Hilbert space formulation and the phase space formulation of quantum mechanics},
author = {J. Tosiek and P. Brzykcy},
journal= {arXiv preprint arXiv:1210.7672},
year = {2015}
}
Comments
18 pages