Unitary time-evolution in stochastic time-dependent Hilbert spaces

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 me...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2019-05, Vol.52 (19), p.195301
Hauptverfasser: Curcuraci, L, Bacchi, S, Bassi, A
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ab1427