Re: Feynman Disentangling Theorem

mark@xxxxxxxxxxxxxxx wrote:

> Ich weiss nicht genau was es ist. Habe es gefunden in einer Abhandlung
> zur Störungsrechung. Dort wird ein Propagator aufgespalten. Der
> Hamiltonian besteht aus einem diagonalen und nicht-diagonalen Anteil.
> Beide Anteile kommutieren nicht. Und trotzdem kann der Propagator in
> gewisser Weise (nach Feynmans o.g. Theorem) aufgespalten werden. Ich
> habe leider einen Hamiltonian, der nicht hermitesch ist. Klingt
> komisch ist aber so. Und nun Frage mich ob das Theorem explizit von
> der Hermitizität gebrauch macht.

Bei der Standardherleitung des Pfadintegrals braucht man die
Baker-Campbell-Hausdorff-Formel bzw. Abarten davon. Gute Bücher über
Pfadintegrale sind

R. P. Feynman, A. R. Hibbs, Quantum Mechanics and Path Integrals,
McGraw-Hill 1965

Hagen Kleinert, Path Integrals in Quantum Mechanics, Statistics, and
Polymer Physics, World Scientific 2003

J. Glimm, A. Jaffa, Quantum Physics, A functional integral point of
view, Springer 1987

--
Hendrik van Hees Texas A&M University
Phone: +1 979/845-1411 Cyclotron Institute, MS-3366
Fax: +1 979/845-1899 College Station, TX 77843-3366
http://theory.gsi.de/~vanhees/ mailto:hees@xxxxxxxxxxxxx
.

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