Operator-valued ODEs and Feynman's formula
type: Item
instance of: scholarly article
title: Operator-valued ODEs and Feynman's formula
zbMATH Open document ID: 1284.47013
DOI: 10.1134/S0001434612110302
published in: Mathematical Notes
publication date: 2013-04-15T00:00:00Z
review text: To calculate the derivative of operator-valued exponents, Feynman derived a special formula connecting the derivative of a function and its left derivative. In order to calculate the derivative of a family of Hermitian matrices, the authors consider the special Cauchy problem for set operator-valued ODEs. The uniqueness problem is discussed separately.
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 6153819
zbMATH Keywords: Feynman's formula
zbMATH Keywords: operator-valued ODE
zbMATH Keywords: noncommuting exponentials
zbMATH Keywords: matrix-valued ODE
zbMATH Keywords: Hadamard product
zbMATH Keywords: Jordan decomposition
author: Alexander M. Chebotarev
author: Alexander E. Teretenkov
MaRDI profile type: Publication
cites work: An Operator Calculus Having Applications in Quantum Electrodynamics
cites work: Exponential Operators and Parameter Differentiation in Quantum Physics
cites work: Q4692285
cites work: Derivatives of the matrix exponential and their computation
full work available at URL: s0001434612110302
OpenAlex ID: W1963659594
description: scientific article; zbMATH DE number 6153819