Exact Discrete Analogs of Canonical Commutation and Uncertainty Relations

An exact discretization of the canonical commutation and corresponding uncertainty relations are suggested. We prove that the canonical commutation relations of discrete quantum mechanics, which is based on standard finite difference, holds for constant wave functions only. In this paper, we use the...

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Bibliographic Details
Main Author: Vasily E. Tarasov
Format: Article
Language:English
Published: MDPI AG 2016-06-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/4/3/44