Quantum chaos in billiards

Computing in Science and Engineering

Volumn 9, Issue 3, 2007, Pages 60-64

  Bäcker, Arnd ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BILLIARD MAPPING; HEMHOLTZ EQUATION; QUANTUM BILLIARDS;

CONFORMAL MAPPING; DATA VISUALIZATION; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; SCHRODINGER EQUATION; TRAJECTORIES;

CHAOTIC SYSTEMS;

EID: 34247511537     PISSN: 15219615     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCSE.2007.61     Document Type: Article

References (10)

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3. A. Bäcker, "Numerical Aspects of Eigenvalue and Eigenfunction Computations for Chaotic Quantum Systems," The Mathematical Aspects of Quantum Maps, Lecture Notes in Physics 618, M. Degli Esposti and S. Graffi, eds., Springer-Verlag, 2003, pp. 91-144.
4. R. Aurich and F. Steiner, "Statistical Properties of Highly Excited Quantum Eigenstates of a Strongly Chaotic System," Physica D, vol. 64, 1993, pp. 185-214.
5. O. Bohigas, M.-J. Ciannoni, and C. Schmit, "Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws," Physical Rev. Letters, vol. 52, 1984, pp. 1-4.
6. M.V. Berry and M. Tabor, "Level Clustering in the Regular Spectrum," Proc. Royal Soc. London A, vol. 356, 1977, pp. 375-394.
7. M.L. Mehta, Random Matrices, Academic Press, 1991.
8. M.V. Berry, "Semiclassical Mechanics of Regular and Irregular Motion," Comportement Chaotique des Systemes Deterministes: Chaotic Behaviour of Deterministic Systems, G. Iooss, R.H.G. Hellemann, and R. Stora, eds., North-Holland, 1983, pp. 171-271.
9. A. Bäcker, R. Schubert, and P. Stifter, "Rate of Quantum Ergodicity in Euclidean Billiards," Physical Rev. E, vol. 57, 1998, pp. 5425-5447.
10. A. Bäcker, R. Ketzmerick, and A. Monastra, "Flooding of Regular Islands by Chaotic States," Physical Rev. Letters, vol. 94, 2005, p. 054102.