Trotter-Kato product formula for unitary groups

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607452064.pdf (242.06 KB)

Date

2009

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Advisor

Volume

1428

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WIAS Preprints

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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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Abstract

Let A and B be non-negative self-adjoint operators in a separable Hilbert space such that its form sum C is densely defined. It is shown that the Trotter product formula holds for imaginary times in the L2-norm. The result remains true for the Trotter-Kato product formula for so-called holomorphic Kato functions; we also derive a canonical representation for any function of this class.

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Keywords

Trotter product formula, Trotter-Kato product formula, unitary groups, Feynman path integrals, holomorphic Kato functions.

Keywords GND

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Report

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publishedVersion

URI

https://doi.org/10.34657/3434
 https://oa.tib.eu/renate/handle/123456789/2128

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Mathematik
WIAS Preprints

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