Publications

For most of the articles below you will find a link to the corresponding journal.

Clicking on the titles gives a page with further information (abstract, additional material, links to the preprint version,...).

If you have problems downloading/printing or obtaining any of the articles don't hesitate to contact me by e-mail.

The following references are also available as BiBTeX file.

Theses

Publications

  1. A. Bäcker, F. Steiner and P. Stifter:
    Spectral statistics in the quantized cardioid billiard,
    Phys. Rev. E 52 (1995) 2463-2472.

  2. A. Bäcker and H.R. Dullin:
    Symbolic dynamics and periodic orbits for the cardioid billiard,
    J. Phys. A. 30 (1997) 1991-2020.

  3. R. Aurich, A. Bäcker and F. Steiner:
    Mode fluctuations as fingerprints of chaotic and non-chaotic systems,
    Int. J. Mod. Phys. B 11 (1997) 805-849.

  4. A. Bäcker and N. Chernov:
    Generating partitions for two-dimensional hyperbolic maps,
    Nonlinearity 11 (1998) 79-87.

  5. A. Bäcker, R. Schubert and P. Stifter:
    On the number of bouncing ball modes in billiards,
    J. Phys. A 30 (1997) 6783-6795.

  6. A. Bäcker, R. Schubert and P. Stifter:
    Rate of quantum ergodicity in Euclidean billiards,
    Phys. Rev. E 57 (1998) 5425-5447, erratum Phys. Rev. E 58 (1998) 5192.

  7. H. Alt, A. Bäcker, C. Dembowski, H.-D. Gräf, R. Hofferbert, H. Rehfeld and A. Richter:
    Mode fluctuation distribution for spectra of superconducting microwave billiards,
    Phys. Rev. E 58 (1998) 1737-1742.

  8. R. Aurich, A. Bäcker, R. Schubert and M. Taglieber:
    Maximum norms of chaotic quantum eigenstates and random waves,
    Physica D 129 (1999) 1-14.

  9. A. Bäcker and R. Schubert:
    Chaotic eigenfunctions in momentum space,
    J. Phys. A 32 (1999) 4795-4815.

  10. A. Bäcker and G. Haag:
    Spectral statistics for quantized skew translations on the torus,
    J. Phys. A 32 (1999) L393-L398.

  11. R. Aurich, A. Bäcker, R. Schubert and M. Taglieber:
    Maximum norms of chaotic quantum eigenstates and random waves,
    in: Equadiff 99, Proceedings of the International Conference on Differential Equations, Berlin, B. Fiedler, K. Gröger and J. Sprekels (eds.) 1461-1463, World Scientific Singapore (2000).

  12. A. Bäcker and F. Steiner
    Quantum chaos and quantum ergodicity,
    in: Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems, B. Fiedler (ed.), 717-752, Springer-Verlag Berlin/Heidelberg (2001).

  13. H. R. Dullin and A. Bäcker:
    About ergodicity in the family of limaçon billiards,
    Nonlinearity 14 (2001) 1673-1687.

  14. A. Bäcker and R. Schubert:
    Amplitude distribution of eigenfunctions in mixed systems,
    J. Phys. A. 35 (2002) 527-538.

  15. A. Bäcker and R. Schubert:
    Autocorrelation function of eigenstates in chaotic and mixed systems,
    J. Phys. A 35 (2002) 539-564.

  16. A. Bäcker, A. Manze, B. Huckestein and R. Ketzmerick:
    Isolated resonances in conductance fluctuations and hierarchical states,
    Phys. Rev. E 66 (2002) 016211 (8 pages).

  17. A. Bäcker, J. P. Keating and S. Prado:
    Orbit bifurcations and wavefunction autocorrelations,
    Nonlinearity 15 (2002) 1417-1433

  18. A. Bäcker:
    Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems,
    in The Mathematical Aspects of Quantum Maps, M. Degli Esposti and S. Graffi (Eds.) Springer Lecture Notes in Physics 618, 91-144 (2003).

    For the Python programs see here.

  19. A. Bäcker, S. Fürstberger, R. Schubert and F. Steiner
    Behaviour of boundary functions for quantum billiards,
    J. Phys. A 35 (2002) 10293-10310.

  20. A. Bäcker, S. Fürstberger and R. Schubert
    Poincaré Husimi representation of eigenstates in quantum billiards,
    Phys. Rev. E 70 (2004) 036204 (10 pages).

  21. A. Bäcker, R. Ketzmerick, and A. Monastra
    Flooding of regular islands by chaotic states,
    Phys. Rev. Lett. 94, 054102 (2005), 4 pages

  22. J. Feist, A. Bäcker, R. Ketzmerick, S. Rotter, B. Huckestein, and J. Burgdörfer
    Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover,
    [Phys. Rev. Lett. 97, 116804 (2006), 4 pages]
  23. A. Bäcker
    Computational Physics Education with Python,
    Computing in Science & Engineering, vol. 9, no. 3, May/June 2007, pp. 30--33.

  24. A. Bäcker
    Quantum chaos in billiards,
    Computing in Science & Engineering, vol. 9, no. 3, May/June 2007, pp. 60--64.

  25. A. Bäcker, R. Ketzmerick, and A. Monastra
    Universality in the flooding of regular islands by chaotic states
    Phys. Rev. E 75, 066204 (2007), 11 pages [nlin.CD/701032]

  26. A. Bäcker
    Random waves and more: Eigenfunctions in chaotic and mixed systems,
    in Nodal patterns in physics and mathematics, Proceedings of the 368th Wilhelm and Else Heraeus Seminar, Eds. U. Smilansky and H.-J. Stöckmann., Eur. Phys. J. (Special Topics), 145, 161-169 (2007).

  27. A. Bäcker, R. Ketzmerick, S. Löck and L. Schilling
    Regular-to-chaotic tunneling rates using a fictitious integrable system,
    Phys. Rev. Lett. 100, 104101 (2008), 4 pages [arXiv:0707.0217v1 [nlin.CD]]

  28. S. Tomsovic, D. Ullmo, and A. Bäcker
    Residual Coulomb interaction fluctuations in chaotic systems: the boundary, random plane waves, and semiclassical theory,
    Phys. Rev. Lett. 100, 164101 (2008), 4 pages [arXiv:0712.0225 [cond-mat.mes-hall]]

  29. A. Bäcker, R. Ketzmerick, S. Löck, M. Robnik, G. Vidmar, R. Höhmann, U. Kuhl, and H.-J. Stöckmann
    Dynamical tunneling in mushroom billiards,
    Phys. Rev. Lett. 100, 174103 (2008), 4 pages [arXiv:0801.2833 [nlin.CD]]

Misc

Valid HTML 4.01 Valid CSS! Last modified: 16 May 2008, 10:36:28
Impressum, © Arnd Bäcker