Unitary time-evolution in stochastic time-dependent Hilbert spaces. (12th April 2019)

• Record Type: Journal Article
• Authors: Curcuraci, L; Bacchi, S; Bassi, A
• Is Part Of: Journal of physics. Volume 52:Number 19(2019)
• Publication Date: 2019-04-12
• Subjects: unitary time-evolution -- stochastic Hilbert spaces -- quantum mechanics; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab1427
• Languages: English
• ISSNs: 1751-8113

Abstract

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.