Quantum Canonical Transformations: Physical Equivalence of Quantum Theories
Arlen Anderson
TL;DR
This paper explores the conditions under which quantum theories are physically equivalent through isometric transformations, expanding the understanding beyond traditional unitary transformations.
Contribution
It introduces criteria for quantum canonical transformations to be isometric, broadening the concept of physical equivalence in quantum theory.
Findings
Derived conditions for isometric quantum transformations
Extended the framework of quantum theory equivalence
Clarified the role of isometries in quantum transformations
Abstract
Two quantum theories are physically equivalent if they are related, not by a unitary transformation, but by an isometric transformation. The conditions under which a quantum canonical transformation is an isometric transformation are given.
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