Generalized measure permutation formulas in Feynman’s operational calculi

B. M. Ahn; B. S. Kim; I. Yoo

doi:10.1134/S1061920814020010

Generalized measure permutation formulas in Feynman’s operational calculi

B. M. Ahn
, B. S. Kim
, I. Yoo

School of Natural Sciences

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

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	135-147
Number of pages	13
Journal	Russian Journal of Mathematical Physics
Volume	21
Issue number	2
DOIs	https://doi.org/10.1134/S1061920814020010
State	Published - 1 Apr 2014

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title = "Generalized measure permutation formulas in Feynman{\textquoteright}s operational calculi",

abstract = "Measure permutation formulas in Feynman{\textquoteright}s operational calculi for noncommuting operators give relationships between the two operators \$\$\textbackslash{}mathcal\{T\}\_\{\textbackslash{}mu 1,\textbackslash{}mu 2\} f\textbackslash{}left(\{\textbackslash{}tilde A,\textbackslash{}tilde B\} \textbackslash{}right)\$\$ and \$\$\textbackslash{}mathcal\{T\}\_\{\textbackslash{}mu 2,\textbackslash{}mu 1\} f\textbackslash{}left(\{\textbackslash{}tilde A,\textbackslash{}tilde B\} \textbackslash{}right)\$\$. We develop generalized and iterated measure permutation formulas in the Jefferies-Johnson theory of Feynman{\textquoteright}s operational calculi. In particular, we apply our formulas to derive an identity for a function of the Pauli matrices.",

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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.

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Generalized measure permutation formulas in Feynman’s operational calculi

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