Alternative momentum concept for a quantum mechanical particle in a box

For a particle in a box, the operator p[over ̂]=−i∂_{x} is not self-adjoint. We provide an alternative construction of a momentum operator p[over ̂]_{R}+ip[over ̂]_{I}, which has two self-adjoint components p[over ̂]_{R} and p[over ̂]_{I}. This leads to a description of momentum measurements perform...

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Bibliographic Details
Main Authors: M. H. Al-Hashimi, U.-J. Wiese
Format: Article
Language:English
Published: American Physical Society 2021-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.L042008