A self-adjoint arrival time operator inspired by measurement models

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Title: A self-adjoint arrival time operator inspired by measurement models
Author(s): Halliwell, JJ
Evaeus, J
London, J
Malik, Y
Item Type: Journal Article
Abstract: We introduce an arrival time operator which is self-adjoint and, unlike previously proposed arrival time operators, has a close link to simple measurement models. Its spectrum leads to an arrival time distribution which is a variant of the Kijowski distribution (a re-ordering of the current) in the large momentum regime but is proportional to the kinetic energy density in the small momentum regime, in agreement with measurement models. A brief derivation of the latter distribution is given. We make some simple observations about the physical reasons for self-adjointness, or its absence, in both arrival time operators and the momentum operator on the half-line and we also compare our operator with the dwell time operator.
Publication Date: 16-Oct-2015
Date of Acceptance: 29-Jul-2015
URI: http://hdl.handle.net/10044/1/53848
DOI: https://dx.doi.org/10.1016/j.physleta.2015.07.040
ISSN: 0375-9601
Publisher: Elsevier
Start Page: 2445
End Page: 2451
Journal / Book Title: Physics Letters A
Volume: 379
Issue: 39
Copyright Statement: © 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/J008060/1
Keywords: Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
QUANTUM-MECHANICAL HISTORIES
UNCERTAINTY PRINCIPLE
PATH-INTEGRALS
HALF-LINE
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
QUANTUM-MECHANICAL HISTORIES
UNCERTAINTY PRINCIPLE
PATH-INTEGRALS
HALF-LINE
01 Mathematical Sciences
02 Physical Sciences
Fluids & Plasmas
Publication Status: Published
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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