Operator-valued ODEs and Feynman's formula

DOI10.1134/S0001434612110302zbMath1284.47013OpenAlexW1963659594MaRDI QIDQ1946454

Alexander E. Teretenkov, Alexander M. Chebotarev

Publication date: 15 April 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434612110302

zbMATH Keywords

Hadamard productJordan decompositionFeynman's formulamatrix-valued ODEnoncommuting exponentialsoperator-valued ODE

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear differential equations in abstract spaces (34G10)

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Cites Work

• Derivatives of the matrix exponential and their computation
• Exponential Operators and Parameter Differentiation in Quantum Physics
• An Operator Calculus Having Applications in Quantum Electrodynamics
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