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A self-adjoint arrival time operator inspired by measurement models
File | Description | Size | Format | |
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1504.02509.pdf | Accepted version | 188.34 kB | Adobe PDF | View/Open |
Title: | A self-adjoint arrival time operator inspired by measurement models |
Authors: | 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. |
Issue 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 01 Mathematical Sciences 02 Physical Sciences Fluids & Plasmas |
Publication Status: | Published |
Appears in Collections: | Physics Theoretical Physics Faculty of Natural Sciences |