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On Transformations in the Feynman‐Kac Formula and Quantummechanical N‐Body Systems
Author(s) -
Demuth Michael
Publication year - 1985
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19851220110
Subject(s) - mathematics , feynman diagram , semigroup , feynman integral , pure mathematics , decomposition , representation (politics) , mathematical physics , mathematical analysis , ecology , politics , political science , law , biology
Coordinate transformations in the Feynman‐Kac formula are considered. The contractive semigroup with transformed coordinates is expressed by an integral with a correspondingly transformed diffusion measure. This representation is used for N ‐body systems transformed to clustered Jacobi coordinates implying a decomposition of the Feynman‐Kac formula.