The ambiguity function and the displacement operator basis in quantum mechanics
-
Published:2019-09-05
Issue:12
Volume:94
Page:124001
-
ISSN:0031-8949
-
Container-title:Physica Scripta
-
language:
-
Short-container-title:Phys. Scr.
Author:
Ben-Benjamin J S,Unruh W G
Abstract
Abstract
We present a method for calculating expectation values of operators in terms of a corresponding c-function formalism which is not the Wigner–Weyl position-momentum phase-space, but another space. Here, the quantity representing the quantum system is the expectation value of the displacement operator, parametrized by the position and momentum displacements, and expectation values are evaluated as classical integrals over these parameters. The displacement operator is found to offer a complete orthogonal basis for operators, and some of its other properties are investigated. Connection to the Wigner distribution and Weyl procedure are discussed and examples are given.
Funder
Office of Naval Research
Air Force Office of Scientific Research
NSERC Canada
Hagler Institute for Advanced Studies
Canadian Institute for Advanced Research
Humbolt Foundation
Robert A. Welch Foundation
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献