Measure permutation formulas in Feynman's operational calculi

K. S. Chang; B. S. Kim; Y. H. Park

doi:10.1134/S1061920810010036

Measure permutation formulas in Feynman's operational calculi

K. S. Chang
, B. S. Kim
, Y. H. Park

School of Natural Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In Jefferies-Johnson's theory of Feynman's operational calculi for noncommuting operators, the two operators T_{μ1, μ2}f(Ã, B̃) and T_{μ2, μ1}f(Ã, B̃) are not equal. Relationships between these two operators are given, i.e., "measure permutation formulas" in Feynman's operational calculi are developed; they correspond to the "index permutation formula" in Maslov's discretized version of Feynman's operational calculus.

Original language	English
Pages (from-to)	26-34
Number of pages	9
Journal	Russian Journal of Mathematical Physics
Volume	17
Issue number	1
DOIs	https://doi.org/10.1134/S1061920810010036
State	Published - 2010

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title = "Measure permutation formulas in Feynman's operational calculi",

abstract = "In Jefferies-Johnson's theory of Feynman's operational calculi for noncommuting operators, the two operators Tμ1, μ2f({\~A}, {\~B}) and Tμ2, μ1f({\~A}, {\~B}) are not equal. Relationships between these two operators are given, i.e., {"}measure permutation formulas{"} in Feynman's operational calculi are developed; they correspond to the {"}index permutation formula{"} in Maslov's discretized version of Feynman's operational calculus.",

author = "Chang, \{K. S.\} and Kim, \{B. S.\} and Park, \{Y. H.\}",

year = "2010",

doi = "10.1134/S1061920810010036",

language = "English",

volume = "17",

pages = "26--34",

journal = "Russian Journal of Mathematical Physics",

issn = "1061-9208",

number = "1",

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T1 - Measure permutation formulas in Feynman's operational calculi

AU - Chang, K. S.

AU - Kim, B. S.

AU - Park, Y. H.

PY - 2010

Y1 - 2010

N2 - In Jefferies-Johnson's theory of Feynman's operational calculi for noncommuting operators, the two operators Tμ1, μ2f(Ã, B̃) and Tμ2, μ1f(Ã, B̃) are not equal. Relationships between these two operators are given, i.e., "measure permutation formulas" in Feynman's operational calculi are developed; they correspond to the "index permutation formula" in Maslov's discretized version of Feynman's operational calculus.

AB - In Jefferies-Johnson's theory of Feynman's operational calculi for noncommuting operators, the two operators Tμ1, μ2f(Ã, B̃) and Tμ2, μ1f(Ã, B̃) are not equal. Relationships between these two operators are given, i.e., "measure permutation formulas" in Feynman's operational calculi are developed; they correspond to the "index permutation formula" in Maslov's discretized version of Feynman's operational calculus.

UR - https://www.scopus.com/pages/publications/77952045369

U2 - 10.1134/S1061920810010036

DO - 10.1134/S1061920810010036

M3 - Article

AN - SCOPUS:77952045369

SN - 1061-9208

VL - 17

SP - 26

EP - 34

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

IS - 1

ER -

Measure permutation formulas in Feynman's operational calculi

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