TY - JOUR
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 -