Stochastic Isometries in Quantum Mechanics
Mathematical Physics
2013-03-27 v1 math.MP
Abstract
The class of stochastic maps, that is, linear, trace-preserving, positive maps between the self-adjoint trace class operators of complex separable Hilbert spaces plays an important role in the representation of reversible dynamics and symmetry transformations. Here a characterization of the isometric stochastic maps is given and possible physical applications are indicated.
Cite
@article{arxiv.1303.6624,
title = {Stochastic Isometries in Quantum Mechanics},
author = {Paul Busch},
journal= {arXiv preprint arXiv:1303.6624},
year = {2013}
}