Arrival Time from Hamiltonian with Non-Hermitian Boundary Term

Jurić, Tajron; Nikolić, Hrvoje (2024) Arrival Time from Hamiltonian with Non-Hermitian Boundary Term. Universe, 10 (1). ISSN 2218-1997

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Abstract

In this study, we developed a new method for finding the quantum probability density of arrival at the detector. The evolution of the quantum state restricted to the region outside of the detector is described by a restricted Hamiltonian that contains a non-Hermitian boundary term. The non-Hermitian term is shown to be proportional to the flux of the probability current operator through the boundary, which implies that the arrival probability density is equal to the flux of the probability current.

Item Type:	Article
Uncontrolled Keywords:	arrival time; non-Hermitian Hamiltonian; boundary term; probability current
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Potraga za kvantnim prostorvremenom u spektru KNM za crne rupe i bljeskovima gama zraka-QBHQNMGRB Anđelo Samsarov; Ivica Smolić; Marija Dimitrijević-Ćirić; Salvatore Mignemi; Kumar Shankar Gupta; Nikola Konjik IP-2020-02-9614 HRZZ
Depositing User:	Ivana Vuglec
Date Deposited:	22 Oct 2025 09:49
URI:	http://fulir.irb.hr/id/eprint/10043
DOI:	10.3390/universe10010035

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