On an Algebraic Essential of Submanifold Quantum Mechanics
Shigeki Matsutani
TL;DR
This paper provides an algebraic perspective on submanifold quantum mechanics, clarifying its fundamental aspects and offering a new theoretical framework for understanding its core principles.
Contribution
It introduces an algebraic definition of submanifold quantum mechanics and identifies its essential features from an algebraic viewpoint.
Findings
Provides an algebraic formulation of submanifold quantum mechanics
Clarifies the core principles of the theory
Offers new insights into the algebraic structure of the field
Abstract
The submanifold quantum mechanics was opened by Jensen and Koppe (Ann. Phys. {\bf 63} (1971) 586-591) and has been studied for these three decades. This article gives its more algebraic definition and show what is the essential of the submanifold quantum mechanics from an algebraic viewpoint.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Geometric Analysis and Curvature Flows · Advanced Differential Geometry Research