Nontrivial systems and the necessity of the scalar quantum mechanics axioms

DOI10.1063/1.3133887zbMath1216.81017OpenAlexW1491396408MaRDI QIDQ3069100

Jan Kotůlek

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3133887

zbMATH Keywords

geometryHilbert spacestopologyAharonov-Bohm effect

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum measurement theory, state operations, state preparations (81P15)

Cites Work

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• Commutators, \(C_{0}\)-semigroups and resolvent estimates
• Positive commutators \(i[f(P),g(Q)\)]
• Relativistic generalization and extension to the non-abelian gauge theory of Feynman's proof of the Maxwell equations
• Feynman’s proof of the Maxwell equations
• Generally covariant quantum mechanics on noncommutative configuration spaces
• Noncommutative geometry framework and the Feynman’s proof of Maxwell equations
• Feynman problem in the noncommutative case
• An Algebraic Approach to Quantum Field Theory
• Theory of operator algebras I.

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