Operator-valued ODEs and Feynman's formula (Q1946454)
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scientific article; zbMATH DE number 6153819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Operator-valued ODEs and Feynman's formula |
scientific article; zbMATH DE number 6153819 |
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Operator-valued ODEs and Feynman's formula (English)
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15 April 2013
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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.
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Feynman's formula
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operator-valued ODE
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noncommuting exponentials
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matrix-valued ODE
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Hadamard product
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Jordan decomposition
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