Non-commutative spheres and numerical quantum mechanics
William Arveson
TL;DR
This paper explores the mathematical structure of discretized canonical commutation relations in quantum mechanics and discusses challenges in modeling quantum systems computationally.
Contribution
It provides a detailed analysis of non-commutative spheres and their role in numerical quantum mechanics modeling.
Findings
Mathematical framework for discretized quantum relations
Insights into non-commutative geometric structures
Implications for computational quantum physics
Abstract
We discuss some basic issues that arise when one attempts to model quantum mechanical systems on a computer, and we describe the mathematical structure of the resulting discretized cannonical commutation relations.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Noncommutative and Quantum Gravity Theories · Advanced Topics in Algebra