An explicit Schr\"odinger picture for Aharonov's Modular Variable concept
A. C. Lobo, C. A. Ribeiro
TL;DR
This paper presents a Schr"odinger picture approach to Aharonov's modular variables, utilizing Schwinger's finite quantum kinematics and its continuous limit to clarify their non-local properties.
Contribution
It introduces an explicit Schr"odinger picture formulation for modular variables, connecting finite quantum kinematics with the continuous case.
Findings
Provides a natural Schr"odinger picture framework for modular variables
Links finite quantum kinematics to continuous limit for modular variables
Clarifies non-local properties of modular variables
Abstract
We propose to address in a natural manner, the modular variable concept explicitly in a Schr\"odinger picture. The idea of Modular Variables was introduced in 1969 by Aharonov, Pendleton and Petersen to explain certain non-local properties of quantum mechanics. Our approach to this subject is based on Schwinger's finite quantum kinematics and it's continuous limit.
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