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

Waltner, Daniel, Gnutzmann, Sven, Tanner, Gregor and Richter, Klaus (2013) Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs. Physical Review E (PRE) 87 (5), 052919.

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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 ...

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Item type:Article
Date:29 May 2013
Institutions:Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Projects:FOR 760: Scattering Systems with Complex Dynamics, EPSRC EP/I038217/1: Analysis on Graphs
Identification Number:
ValueType
10.1103/PhysRevE.87.052919DOI
1209.3131arXiv ID
Classification:
NotationType
05.45.MtPACS
03.65.SqPACS
Dewey Decimal Classification:500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:33645
Owner only: item control page

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