Unitary time-evolution in stochastic time-dependent Hilbert spaces
Quantum Physics
2019-05-22 v1
Abstract
In this work we study the unitary time-evolutions of quantum systems defined on infinite-dimensional separable time-dependent Hilbert spaces. Two possible cases are considered: a quantum system defined on a stochastic interval and another one defined on a Hilbert space with stochastic integration measure (stochastic time-dependent scalar product). The formulations of the two problems and a comparison with the general theory of open quantum systems are discussed. Possible physical applications of the situations considered are analyzed.
Cite
@article{arxiv.1902.08139,
title = {Unitary time-evolution in stochastic time-dependent Hilbert spaces},
author = {Luca Curcuraci and Stefano Bacchi and Angelo Bassi},
journal= {arXiv preprint arXiv:1902.08139},
year = {2019}
}