Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Holger Schanz"'
Autor:
Holger Schanz, Uzy Smilansky
Publikováno v:
St. Petersburg Mathematical Journal. 30:591-600
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc7309bb642627d77e0a1818ee73a33c
https://doi.org/10.1090/spmj/1560
https://doi.org/10.1090/spmj/1560
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 54:015203
This article is dedicated to the following class of problems. Start with an $N\times N$ Hermitian matrix randomly picked from a matrix ensemble - the reference matrix. Applying a rank-$t$ perturbation to it, with $t$ taking the values $1\le t \le N$,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88e7fc3170be01ea29ba872de26451ad
https://doi.org/10.1088/1751-8121/abc9da
https://doi.org/10.1088/1751-8121/abc9da
Discussed here are the effects of basics graph transformations on the spectra of associated quantum graphs. In particular it is shown that under an edge switch the spectrum of the transformed Schr\"odinger operator is interlaced with that of the orig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::475cf8063655df5a07f88c94a3473892
http://arxiv.org/abs/1710.07958
http://arxiv.org/abs/1710.07958
We employ Random Matrix Theory in order to investigate coherent perfect absorption (CPA) in lossy systems with complex internal dynamics. The loss strength $\gamma_{\rm CPA}$ and energy $E_{\rm CPA}$, for which a CPA occurs are expressed in terms of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df6feb88272dbbe1182e7a0c77a5b02a
http://arxiv.org/abs/1701.00847
http://arxiv.org/abs/1701.00847
Autor:
Holger Schanz
Publikováno v:
Quantum Graphs and Their Applications. :269-282
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fed0d2c95ea8cb071731696bbae306d8
https://doi.org/10.1090/conm/415/07874
https://doi.org/10.1090/conm/415/07874
Autor:
Holger Schanz, Manamohan Prusty
Publikováno v:
Journal of Physics A: Mathematical and General. 38:10085-10100
In generic Hamiltonian systems with a mixed phase space chaotic transport may be directed and ballistic rather than diffusive. We investigate one particular model showing this behaviour, namely a spatially periodic billiard chain in which electrons m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09510b1227b3d92df377a7dacddd80b3
https://doi.org/10.1088/0305-4470/38/47/003
https://doi.org/10.1088/0305-4470/38/47/003
Autor:
Holger Schanz, Tsampikos Kottos
Publikováno v:
Waves in Random Media. 14:S91-S105
We connect quantum compact graphs with infinite leads, and turn them into scattering systems. We derive an exact expression for the scattering matrix, and explain how it is related to the spectrum of the corresponding closed graph. The resulting expr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18971038ded98a5d03e9b2892ea0f20f
https://doi.org/10.1088/0959-7174/14/1/013
https://doi.org/10.1088/0959-7174/14/1/013
Publikováno v:
Journal of Physics A: Mathematical and General. 36:8373-8392
For certain types of quantum graphs we show that the random-matrix form factor can be recovered to at least third order in the scaled time $\tau$ from periodic-orbit theory. We consider the contributions from pairs of periodic orbits represented by d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca9d9a39e75e4025c4dc1cdc612f1177
https://doi.org/10.1088/0305-4470/36/31/303
https://doi.org/10.1088/0305-4470/36/31/303
Publikováno v:
Physica E: Low-dimensional Systems and Nanostructures. 9:494-497
We investigate the two-point correlations in the spectra of extended systems exhibiting chaotic diffusion in the classical limit, in presence and in absence of spatial order. For periodic systems, we express the spectral two-point correlations in ter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e55e3366b78e343016684558959cd09
https://doi.org/10.1016/s1386-9477(00)00251-4
https://doi.org/10.1016/s1386-9477(00)00251-4
Publikováno v:
Annalen der Physik. 512:755-763
We study directed transport in classical and quantum area-preserving maps, periodic in space and momentum. On the classical level, we show that a sum rule excludes directed transport of the entire phase space, leaving only the possibility of transpor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb4267775faacf57424e5c2b4be71e9f
https://doi.org/10.1002/andp.200051209-1011
https://doi.org/10.1002/andp.200051209-1011