On Wigner transforms in infinite dimensions
Ingrid Beltita, Daniel Beltita, Marius Mantoiu
TL;DR
This paper explores the use of Wigner transforms to analyze Schrödinger representations of infinite-dimensional Heisenberg groups, advancing understanding of quantum mechanics in infinite-dimensional settings.
Contribution
It introduces a novel approach to studying infinite-dimensional Heisenberg groups via Wigner transforms, extending finite-dimensional quantum analysis methods.
Findings
Established a framework for Wigner transforms in infinite dimensions
Connected Schrödinger representations with Wigner analysis in infinite-dimensional groups
Provided insights into quantum structures in infinite-dimensional spaces
Abstract
We investigate the Schr\"odinger representations of certain infinite-dimensional Heisenberg groups, using their corresponding Wigner transforms.
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