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