Unstable Systems by Lawrence Horwitz & Yosef Strauss

Author:Lawrence Horwitz & Yosef Strauss
Language: eng
Format: epub
ISBN: 9783030315702
Publisher: Springer International Publishing

(5.5.12)

then is the observable counting the number of quanta in and is the observable counting the number of quanta in .

Now, note that, by the orthogonal direct sum decomposition , we have a decomposition of the Fock space into a tensor product

(5.5.13)

Let be the orthogonal projection in on the closed subspace and let , so that is the orthogonal projection in on the closed subspace . Since with and , we find that is the orthogonal projection in on and is the orthogonal projection in on so that, in particular, we have and

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