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 stochas- tic 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.
Unitary time-evolution in stochastic time-dependent Hilbert spaces / Curcuraci, L.; Bacchi, S.; Bassi, A.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 52:19(2019), pp. 195301.--195301.-. [10.1088/1751-8121/ab1427]
Unitary time-evolution in stochastic time-dependent Hilbert spaces
Curcuraci L.
Membro del Collaboration Group
;Bacchi S.Membro del Collaboration Group
;Bassi A.Membro del Collaboration Group
2019-01-01
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 stochas- tic 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.| File | Dimensione | Formato | |
|---|---|---|---|
|
curcuraci2019.pdf
accesso aperto
Tipologia:
Bozza finale post-referaggio (post-print)
Licenza:
Creative commons
Dimensione
734.84 kB
Formato
Adobe PDF
|
734.84 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
