Contact

• workRoom C52 The Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514924
• fax0115 9514951
• sven.gnutzmann@nottingham.ac.uk

Selected Publications

• FYODOROV, YAN, V, GNUTZMANN, SVEN and KEATING, JONATHAN P., 2018. Extreme values of CUE characteristic polynomials: a numerical study JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 51(46),
• YIYUN FAN, SVEN GNUTZMANN and YUQI LIANG, 2017. Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops Physical Review E. 96, 062207
• GNUTZMANN, SVEN and WALTNER, DANIEL, 2016. Stationary waves on nonlinear quantum graphs. II. Application of canonical perturbation theory in basic graph structures PHYSICAL REVIEW E. 94(6),
• GNUTZMANN, SVEN and WALTNER, DANIEL, 2016. Stationary waves on nonlinear quantum graphs: General framework and canonical perturbation theory Physical Review E. 93, 032204

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• FYODOROV, YAN, V, GNUTZMANN, SVEN and KEATING, JONATHAN P., 2018. Extreme values of CUE characteristic polynomials: a numerical study JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 51(46),
• YIYUN FAN, SVEN GNUTZMANN and YUQI LIANG, 2017. Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops Physical Review E. 96, 062207
• GNUTZMANN, SVEN, KUS, MAREK and LANGHAM-LOPEZ, JORDAN, 2016. Electron-hole coherent states for the Bogoliubov-de Gennes equation JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 49(8),
• GNUTZMANN, SVEN and WALTNER, DANIEL, 2016. Stationary waves on nonlinear quantum graphs: General framework and canonical perturbation theory Physical Review E. 93, 032204
• GNUTZMANN, SVEN and WALTNER, DANIEL, 2016. Stationary waves on nonlinear quantum graphs. II. Application of canonical perturbation theory in basic graph structures PHYSICAL REVIEW E. 94(6),
• ALTLAND, ALEXANDER, GNUTZMANN, SVEN, HAAKE, FRITZ and MICKLITZ, TOBIAS, 2015. A review of sigma models for quantum chaotic dynamics REPORTS ON PROGRESS IN PHYSICS. 78(8),
• FOULGER, IAIN, GNUTZMANN, SVEN and TANNER, GREGOR, 2015. Quantum walks and quantum search on graphene lattices PHYSICAL REVIEW A. 91(6),
• BOEHM, JULIAN, BELLEC, MATTHIEU, MORTESSAGNE, FABRICE, KUHL, ULRICH, BARKHOFEN, SONJA, GEHLER, STEFAN, STOECKMANN, HANS-JUERGEN, FOULGER, IAIN, GNUTZMANN, SVEN and TANNER, GREGOR, 2015. Microwave Experiments Simulating Quantum Search and Directed Transport in Artificial Graphene PHYSICAL REVIEW LETTERS. 114(11),
• GNUTZMANN, S. and LOIS, S., 2014. Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions Philosophical Transactions of the Royal Society A. 372, 20120521
• FOULGER, I., GNUTZMANN, S. and G. TANNER, 2014. Quantum search on a graphene lattice, Physical Review Letters. 112, 070504
• GNUTZMANN, S. and LOIS, S., 2013. On the nodal count statistics for separable systems in any dimension JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 46(4),
• GNUTZMANN, S., SCHANZ, H. and SMILANSKY, U., 2013. Topological resonances in scattering on networks (graphs) Physical Review Letters. 110(9), 094101
• WALTNER, D., GNUTZMANN, S., TANNER, G. and K. RICHTER, 2013. Sub-determinant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs Physical Review E. 87, 052919
• ARONOVITCH, A., BAND, R., FAJMAN, D. and GNUTZMANN, S., 2012. Nodal domains of a non-separable problem: the right-angled isosceles triangle Journal of Physics A: Mathematical and Theoretical. 45(8), 085209
• GNUTZMANN, S., SMILANSKY, U. and DEREVYANKO, S., 2011. Stationary scattering from a nonlinear network Physical Review A: Atomic, Molecular, and Optical Physics. 83(3), 033831
• GNUTZMANN, S., KEATING, J.P. and PIOTET, F., 2010. Eigenfunction statistics on quantum graphs Annals of Physics. 325(12), 2595-2640
• GNUTZMANN, S., KEATING, J.P. and PIOTET, F., 2008. Quantum ergodicity on graphs Physical Review Letters. 101(26), 264102
• SCHAPOTSCHNIKOW, P. and GNUTZMANN, S., 2008. Spectra of graphs and semi-conducting polymers. In: P. EXNER, J.P. KEATING, P. KUCHMENT, T. SUNADA, A. TEPLYAEV, ed., Analysis on Graphs and its Applications AMS.
• FLECHSIG, H. and GNUTZMANN, S., 2008. On the spectral gap in Andreev graphs. In: P. EXNER, J.P. KEATING, P. KUCHMENT, T. SUNADA, A. TEPLYAEV, ed., Analysis on Graphs and Its Applications AMS.
• KUHL, U., HÖHMANN, R., STÖCKMANN, H.-J. and GNUTZMANN, S., 2007. Nodal domains in open microwave systems Physical Review E. 75, 036204
• GNUTZMANN, S., KARAGEORGE, P. D. and SMILANSKY, U., 2006. Can one count the shape of a drum? Physical Review Letters. 97, 090201
• GNUTZMANN, S. and SMILANSKY, U., 2006. Quantum graphs: applications to quantum chaos and universal spectral statistics Advances in Physics. 55(5-6), 527-625
• GNUTZMANN, S. and ALTLAND, A., 2005. Spectral correlations of individual quantum graphs. Physical Review E. 72, 056215
• GNUTZMANN, S., SMILANSKY, U. and SONDERGAARD, N., 2005. Resolving isospectral "drums" by counting nodal domains Journal of Physics A. 38, 8921
• GNUTZMANN, S. and ALTLAND, A., 2004. Universal spectral statistics in quantum graphs. Physical Review Letters. 93(19), 194101
• FOLTIN,G., GNUTZMANN,S. and SMILANSKY,U., 2004. The morphology of nodal lines: random waves versus percolation Journal of Physics A: Mathematical and Theoretical. 37(47), 11363-11372
• GNUTZMANN, S. and SEIF, B., 2004. Universal spectral statistics in Wigner-Dyson, chiral, and Andreev star graphs. II. Semiclassical approach. Physical Review. E. 69, 056220
• GNUTZMANN,S., SMILANSKY,U. and WEBER,J., 2004. Nodal domains on quantum graphs Waves in Random Media. 14(1), S61-S73
• GNUTZMANN, S. and SEIF, B., 2004. Universal spectral statistics in Wigner-Dyson, chiral, and Andreev star graphs. I. Construction and numerical results. Physical Review E. 69, 056219
• MONASTRA,A.G., SMILANSKY,U. and GNUTZMANN,S., 2003. Avoided intersections of nodal lines Journal of Physics A: Mathematical and General. 36(7), 1845-1854
• GNUTZMANN, S., SEIF, B., VON OPPEN, F. and ZIRNBAUER, M. R., 2003. Universal spectral statistics of Andreev billiards: semiclassical approach. Physical Review E. 67, 046225
• GNUTZMANN, S., SEIF, B. and VON OPPEN, F., 2003. Universal spectral statistics of Andreev graphs: the self-dual approximation In: International Conference on Theoretical Physics, TH2002 (Supplement). 101
• BLUM, G., GNUTZMANN, S. and SMILANSKY, U., 2002. Nodal domains statistics: a criterion for quantum chaos. Physical Review Letters. 88(11), 114101
• GNUTZMANN, S. and ZYCZKOWSKI, K., 2001. Rényi-Wehrl entropies as measures of localization in phase space Journal of Physics A: Mathematical and General. 34(47), 10123-10139
• BRAUN, P., GNUTZMANN, S., HAAKE, F., KUS, M. and ZYCZKOWSKI, K., 2001. Level dynamics and universality of spectral fluctuations Foundations of Physics. 31, 613
• GNUTZMANN, S., HAAKE, F. and KUS, M., 2000. Quantum chaos of SU(3) observables Journal of Physics A. 33, 143
• GNUTZMANN, S., 1998. Photon statistics of a bad-cavity laser near threshold European Physical Journal D. 4, 109
• GNUTZMANN, S. and KUS, M., 1998. Coherent states and the classical limit on irreducible SU(3) representations Journal of Physics A. 31, 9871
• GNUTZMANN, S. and HAAKE, F., 1996. Positivity violation and initial slips in open systems Zeitschrift für Physik B. 101, 263
• GNUTZMANN, S. and RITSCHEL, U., 1995. Analytic solution of Emden-Fowler equation and critical adsorption in spherical geometry Zeitschrift für Physik B. 96, 391