Al-Hashimi, M. H.; Wiese, U.-J. (2021). Alternative momentum concept for a quantum mechanical particle in a box. Physical review research, 3(4) American Physical Society 10.1103/PhysRevResearch.3.L042008
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For a particle in a box, the operator ˆp = −i∂x is not self-adjoint. We provide an alternative construction of a momentum operator ˆpR + ipˆI, which has two self-adjoint components ˆpR and ˆpI. This leads to a description of momentum measurements performed on a particle that is strictly limited to the interior of a box of size L, which yields quantized momentum values πn/L with n ∈ Z.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Institute of Theoretical Physics 10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) |
UniBE Contributor: |
Al-Hashimi, Munir, Wiese, Uwe-Jens |
Subjects: |
500 Science > 530 Physics |
ISSN: |
2643-1564 |
Publisher: |
American Physical Society |
Language: |
English |
Submitter: |
Binia Marti |
Date Deposited: |
23 Mar 2022 14:28 |
Last Modified: |
05 Dec 2022 16:14 |
Publisher DOI: |
10.1103/PhysRevResearch.3.L042008 |
BORIS DOI: |
10.48350/167184 |
URI: |
https://boris.unibe.ch/id/eprint/167184 |
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