Measure Permutation Formulas in Feynman's Operational Calculi

摘要

In Jefferies-Johnson's theory of Feynman's operational calculi for noncommuting operators, the two operators T-mu 1,T-mu 2 f((A) over tilde, (B) over tilde) and T-mu 2,T-mu 1 f((A) over tilde, (B) over tilde) 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.