TY - JOUR
T1 - Generalized measure permutation formulas in Feynman’s operational calculi
AU - Ahn, B. M.
AU - Kim, B. S.
AU - Yoo, I.
N1 - Publisher Copyright:
© 2014, Pleiades Publishing, Ltd.
PY - 2014/4/1
Y1 - 2014/4/1
N2 - Measure permutation formulas in Feynman’s operational calculi for noncommuting operators give relationships between the two operators $$\mathcal{T}_{\mu 1,\mu 2} f\left({\tilde A,\tilde B} \right)$$ and $$\mathcal{T}_{\mu 2,\mu 1} f\left({\tilde A,\tilde B} \right)$$. We develop generalized and iterated measure permutation formulas in the Jefferies-Johnson theory of Feynman’s operational calculi. In particular, we apply our formulas to derive an identity for a function of the Pauli matrices.
AB - Measure permutation formulas in Feynman’s operational calculi for noncommuting operators give relationships between the two operators $$\mathcal{T}_{\mu 1,\mu 2} f\left({\tilde A,\tilde B} \right)$$ and $$\mathcal{T}_{\mu 2,\mu 1} f\left({\tilde A,\tilde B} \right)$$. We develop generalized and iterated measure permutation formulas in the Jefferies-Johnson theory of Feynman’s operational calculi. In particular, we apply our formulas to derive an identity for a function of the Pauli matrices.
UR - https://www.scopus.com/pages/publications/84926309794
U2 - 10.1134/S1061920814020010
DO - 10.1134/S1061920814020010
M3 - Article
AN - SCOPUS:84926309794
SN - 1061-9208
VL - 21
SP - 135
EP - 147
JO - Russian Journal of Mathematical Physics
JF - Russian Journal of Mathematical Physics
IS - 2
ER -