A mathematical theory of the Feynman path integral for the generalized Pauli equations

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概要

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• The definitions of the Feynman path integral for the Pauli equation and more general equations in configuration space and in phase space are proposed, probably for the first time. Then it is proved rigorously that the Feynman path integrals are well-defined and are the solutions to the corresponding equations. These Feynman path integrals are defined by the time-slicing method through broken line paths, which is familiar in physics. Our definitions of these Feynman path integrals and our results give the extension of ones for the Schrödinger equation.

• 社団法人 日本数学会の論文
• 2007-07-01

著者

• Ichinose Wataru

  Department Of Mathematical Science Shinshu University

関連論文

• A mathematical theory of the Feynman path integral for the generalized Pauli equations
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