Prof. Dr. rer. nat. habil. Holger Schanz

Aufgabengebiete

Lehre in den Fachgebieten Informatik und Physik
Datenschutzbeauftragter der Hochschule
Lehrveranstaltungs- und Prüfungsplanung des Instituts für Maschinenbau
Mitglied im Fachbereichsrat IWID
Mitglied im Prüfungsausschuss des Instituts für Maschinenbau
Mitglied in der Kommission für IT- und Mediendienste

Projekte

Topologische Resonanzen in quantisierten Netzwerken
Singularitäten in der Zeitverzögerung zweidimensionaler Streusysteme

Veröffentlichungen

C. Wang, U. Kuhl, A. Dowling, H. Schanz and T. Kottos. Bound states in the continuum induced via local symmetries in complex structures. arxiv.org/abs/2310.09682
R. Band, H. Schanz and G. Sofer.
Differences between Robin and Neumann eigenvalues on metric graphs.
Ann. Henri Poincare 2023 (doi:10.1007/s00023-023-01401-2).
B. Dietz, H. Schanz, U. Smilansky and H. Weidenmüller. The statistics of spectral shifts due to finite rank perturbations. J. Phys. A 54, 015203 (2020).
H. Schanz and U.Smilansky. Edge switching transformations of quantum graphs – a scattering approach. Algebra i Analiz 30, 273 (2018).
U. Smilansky and H. Schanz. Delay-time distribution in the scattering of time-narrow wave packets (II) — quantum graphs. J. Phys. A 51, 075302 (2018).
M. Aizenman, H. Schanz, U. Smilansky and S. Warzel. Edge switching transformations of quantum graphs. Acta Physica Polonica A 132, 1699 (2017).
H. Li, S. Suwunnarat, R. Fleischmann, H. Schanz and T. Kottos. Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers. Phys. Rev. Lett. 118, 044101 (2017).
S. Gnutzmann, H. Schanz and U. Smilansky. Topological Resonances in Scattering on Networks (Graphs). Phys. Rev. Lett. 110, 094101 (2013).
A. Bäcker, R. Ketzmerick, S. Löck and H. Schanz. Partial Weyl Law for Billiards. Europhys. Lett. 94, 30004 (2011).
M. Prusty and H. Schanz. Self-pulsed electron transmission through a finite waveguide in a transversal magnetic field. Phys. Rev. Lett. 98 (2007) 176804.
D. Cohen, T. Kottos and H. Schanz. Rate of energy absorption by a closed ballistic ring. J. Phys. A 39 (2006) 11755.
M. Prusty and H. Schanz. Signature of directed chaos in the conductance of a nanowire. Phys. Rev. Lett. 96 (2006) 130601.
H. Schanz in H. Malchow, T. Pöschel and L. Schimannsky-Geier (Eds.). Wave packet dynamics and chaotic eigenstates. Irreversible Prozesse und Selbstorganisation, Logos, Berlin (2006).
H. Schanz in G. Berkolaiko et al. (Eds.). A relation between bond-scattering matrix and number counting function for quantum graphs. Quantum Graphs and Their Applications, Contemporary Mathematics 415, AMS (2006).
H. Schanz and M. Prusty. Directed chaos in a billiard chain with transversal magnetic field. J. Phys. A 38 (2005) 10085.
H. Schanz. Phase-space correlations of chaotic eigenstates. Phys. Rev. Lett. 94 (2005) 134101.
M. Puhlmann, H. Schanz, T. Kottos and T. Geisel. Quantum decay of an open chaotic system: a semiclassical approach. Europhys. Lett. 69 (2005) 313.
H. Schanz, T. Dittrich and R. Ketzmerick. Directed Chaotic Transport in Hamiltonian Ratchets. Phys. Rev. E 71 (2005) 026228.
D. Cohen, T. Kottos and H. Schanz. Quantum pumping: The charge transported due to a translation of a scatterer. Phys. Rev. E 71 (2005) 035202(R).
H. Schanz. Hamiltonsche Ratschen: Antrieb durch Chaos. Beitrag zum Jahrbuch 2004 der Max-Planck-Gesellschaft.
H. Schanz. Quantum chaos: from minimal models to universality. Habilitationsschrift (2004).
T. Kottos and H. Schanz. Statistical properties of resonance widths for open quantum graphs. Waves in Random Media 14 (2004) S91.
H. Schanz, M. Puhlmann and T. Geisel. Shot noise in chaotic cavities from action correlations. Phys. Rev. Lett. 91 (2003) 134101.
H. Schanz and T. Kottos. Scars on quantum networks ignore the Lyapunov exponent. Phys. Rev. Lett. 90 (2003) 234101.
H. Schanz. Reaction matrix for Dirichlet billiards with attached waveguides. Physica E 18 (2003) 429.
G. Berkolaiko, H. Schanz and R. S. Whitney. Form factor for a family of quantum graphs: an expansion to third order. J. Phys. A 36 (2003) 8373.
L. Hufnagel, R. Ketzmerick, M. F. Otto and H. Schanz. Eigenstates ignoring regular and chaotic phase-space structures. Phys. Rev. Lett. 89 (2002) 154101.
G. Berkolaiko, H. Schanz and R. S. Whitney. Leading off-diagonal correction to the form factor of large graphs. Phys. Rev. Lett. 88 (2002) 104101.
H. Schanz and U. Smilansky. Combinatorial identities from the spectral theory of quantum graphs. The Electronic Journal of Combinatorics 8 (2001) R16.
H. Schanz, M. F. Otto, R. Ketzmerick and T. Dittrich. Classical and quantum Hamiltonian ratchets. Phys. Rev. Lett. 87 (2001) 070601.
K. Pichugin, H. Schanz and P. Seba. Effective coupling for open billiards. Phys. Rev. E 64 (2001) 056227.
T. Kottos and H. Schanz. Quantum graphs: a model for quantum chaos. Physica E 9 (2001) 523.
T. Dittrich, B. Mehlig and H. Schanz. Spectral signatures of chaotic diffusion in systems with and without spatial order. Physica E 9 (2001) 494.
H. Schanz and U. Smilansky. Spectral statistics for quantum graphs: Periodic orbits and combinatorics. Phil. Mag. B 80 (2000) 1999.
H. Schanz and U. Smilansky. Periodic-orbit theory of Anderson localization on graphs. Phys. Rev. Lett. 84 (2000) 1427.
T. Dittrich, R. Ketzmerick, M. F. Otto and H. Schanz. Classical and quantum transport in deterministic Hamiltonian ratchets. Ann. Phys.-Berlin 9 (2000) 755.
T. Dittrich, G. Koboldt, B. Mehlig and H. Schanz. Spectral statistics in chaotic systems with two identical, connected cells. J. Phys. A 32 (1999) 6791.
T. Dittrich, B. Mehlig, H. Schanz, U. Smilansky, P. Pollner and G. Vattay. Spectral correlations in systems undergoing a transition from periodicity to disorder. Phys. Rev. E 59 (1999) 6541.
B. Esser and H. Schanz.
Excitonic-vibronic coupled dimer: Separatrix structure, regular and chaotic behavior of the semiclassical dynamics versus full-quantum evolution.
J. Lumin., 76-77 (1998) 530.
T. Dittrich, B. Mehlig, H. Schanz and U. Smilansky.
Signature of chaotic diffusion in band spectra.
Phys. Rev. E 57 (1998) 359.
H. Schanz and B. Esser.
Mixed quantum-classical versus full quantum dynamics: Coupled quasiparticle-oscillator system.
Phys. Rev. A 55 (1997) 3375.
H. Schanz, I. Barvik and B. Esser.
Transfer and decay of an exciton coupled to vibrations in a dimer.
Phys. Rev. B 55 (1997) 11308.
H. Primack, H. Schanz, U. Smilansky and I. Ussishkin.
Penumbra diffraction in the semiclassical quantization of concave billiards.
J. Phys. A 30 (1997) 6693.
T. Dittrich, B. Mehlig, H. Schanz and U. Smilansky.
Universal spectral properties of spatially periodic quantum systems with chaotic classical dynamics.
Chaos Solitons & Fractals 8 (1997) 1205.
H. Schanz.
Investigation of Two Quantum Chaotic Systems.
PhD thesis, Humboldt Universität Berlin, 1996.
H. Schanz and B. Esser.
Nonadiabatic couplings and incipience of quantum chaos.
Z. Phys. B 101 (1996) 299.
H. Primack, H. Schanz, U. Smilansky and I. Ussishkin.
Penumbra diffraction in the quantization of dispersing billiards.
Phys. Rev. Lett. 76 (1996) 1615.
B. Esser and H. Schanz.
Nonlinear properties of energy transfer in molecular aggregates coupled to a vibrational environment.
In J. A. Freund, editor, Dynamik, Evolution, Strukturen. Verlag Dr. Köster, Berlin, 1996.
H. Schanz.
On finding the periodic orbits of the Sinai billiard.
In J. A. Freund, editor, Dynamik, Evolution, Strukturen. Verlag Dr. Köster, Berlin, 1996.
H. Schanz and U. Smilansky.
Quantization of Sinai's billiard - a scattering approach.
Chaos, Solitons & Fractals 5 (1995) 1289.
M. Sieber, H. Primack, U. Smilansky, I. Ussishkin and H. Schanz.
Semiclassical quantization of billiards with mixed boundary conditions.
J. Phys. A 28 (1995) 5041.
B. Esser and H. Schanz.
Excitonic-vibronic coupled dimers - a dynamic approach.
Z. Phys. B 96 (1995) 553.
I. Barvik, B. Esser and H. Schanz.
Nonlinearity and trapping in excitation transfer - dimers and trimers.
Phys. Rev. B 52 (1995) 9377.
B. Esser and H. Schanz.
Regular and chaotic dynamics in systems with excitonic-vibronic coupling.
Chaos Solitons & Fractals 4 (1994) 2067.
H. Schanz.
Irreguläre Streuung an einem Cluster nichtüberlappender Potentiale.
Diploma thesis, Technische Universität Dresden, 1992.
W. John, B. Milek, H. Schanz and P. Seba.
Statistical properties of resonances in quantum irregular scattering.
Phys. Rev. Lett. 67 (1991) 1949.

Werdegang

seit 04/2009
Professor für Informatik und Physik am Institut für Maschinenbau der Hochschule Magdeburg-Stendal
11/2006-03/2009
Consultant im Bereich Finanzmathematik, d-fine GmbH, Frankfurt am Main
10/1998-10/2006 wissenschaftlicher Assistent am Institut für nichtlineare Dynamik der Universität Göttingen; Forschung zum Thema Wellenchaos in komplexen Systemen am Max-Planck-Institut für Dynamik und Selbstorganisation Göttingen (Habilitation in Physik am 15. 11. 2004)
12/1996-09/1998
wissenschaftlicher Mitarbeiter am Max-Planck-Institut für Physik komplexer Systeme, Dresden
10/1996-11/1996
Forschungsaufenthalt am Weizmann Institute of Science, Rehovot (Israel)
03/1993-09/1996
Doktorand an der Humboldt-Universität Berlin (Promotion in theoretischer Physik am 13. 12. 1996)
11/1992-02/1993
Forschungsaufenthalt am Weizmann Institute of Science, Rehovot (Israel)
04/1988-09/1992 Physikstudium an der Technischen Universität Dresden
(Diplom in Physik am 21. 9. 1992).

Kontakt

Prof. Dr. rer. nat. habil. Holger Schanz
Praktische Informatik, Physik

Tel.: (0391) 886 43 17
Fax: (0391) 886 41 23
E-Mail: holger.schanz@h2.de

Besucheradresse: Haus 10, Raum 2.09

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