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

• Ichinose Wataru

  Department of Mathematical Science, Shinshu University

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 59 (3), 649-668, 2007

  一般社団法人 日本数学会

キーワード

• Feynman path integral
• Pauli equation
• time-slicing method

詳細情報

• CRID: 1390282680093256704
• NII論文ID: 10019539892
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05930649
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2344821
• NDL書誌ID: 8823297
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8823297
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可