Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs

URN to cite this document:: urn:nbn:de:bvb:355-epub-336453
DOI to cite this document:: 10.5283/epub.33645

Waltner, Daniel ; Gnutzmann, Sven ; Tanner, Gregor ; Richter, Klaus

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Date of publication of this fulltext: 19 Apr 2016 08:29

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Abstract

We study the implications of unitarity for pseudo-orbit expansions of the spectral determinants of quantum maps and quantum graphs. In particular, we advocate to group pseudo-orbits into subdeterminants. We show explicitly that the cancellation of long orbits is elegantly described on this level and that unitarity can be built in using a simple subdeterminant identity which has a nontrivial ...