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arXiv · 1902.08139

Unitary time-evolution in stochastic time-dependent Hilbert spaces

Luca Curcuraci·Stefano Bacchi·Angelo Bassi
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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.

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Luca Curcuraci, Stefano Bacchi, Angelo Bassi. 2019-02-21. Unitary time-evolution in stochastic time-dependent Hilbert spaces. https://doi.org/10.1088/1751-8121/ab1427

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