The foundations of quantum mechanics and the evolution of the Cartan-Kähler calculus

DOI10.1007/s10701-008-9223-3zbMath1165.81009OpenAlexW2029605785MaRDI QIDQ1013681

José Gabriel Vargas

Publication date: 21 April 2009

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

Full work available at URL: https://doi.org/10.1007/s10701-008-9223-3

zbMATH Keywords

Killing symmetriesspinorsDirac equationfoundations of quantum mechanicsCartan-Kähler calculusClifford-valued differential formsminimal electromagnetic coupling

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• Finslerian structures: The Cartan–Clifton method of the moving frame
• Short proof of Menger's graph theorem
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