Energy surfaces of ellipsoidal billiards

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 51, Issue 4, 1996, Pages 219-241

  Wiersig, Jan ^a   Richter, Peter H ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038971596     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-1996-0401     Document Type: Article

References (17)

1. C. G. J. Jacobi, Vorlesungen über Dynamik. Chelsea Publ., New York 1969.
2. M. V. Berry, Regular and irregular motion. In S. Jorna, editor, Topics in Nonlinear Dynamics, Vol. No. 46 of AIP Conference Proceedings, pages 16-120. American Institute of Physics, New York 1978.
3. M. V. Berry, Eur. J. Phys. 2, 91 (1981).
4. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Vol. 1 of Interdisciplinary Applied Mathematics. Springer, Berlin 1990.
5. Richter, P. H., Die Theorie des Kreisels in Bildern; Report 226, Institut für Dynamische Systeme, Universität Bremen, Bremen 1990.
6. H. R. Dullin, M. Juhnke, and P. H. Richter, Bifurcation and Chaos 4, 1535 (1994).
7. P. H. Richter, A. Wittek, M. P. Kharlamov, and A. P. Kharlamov, Z. Naturforsch. 50a, 693 (1995).
8. P. M. Morse and H. Feshbach, Methods of Theoretical Physics. McGraw-Hill, New York 1953.
9. L. D. Landau E. M. and Lifshitz, Mechanics. Pergamon Press, Oxford, New York 1984.
10. S. Chang and R. Friedberg, J. Math. Phys. 29, 1537 (1988).
11. V. I. Arnold, Mathematical Methods of Classical Mechanics, Vol. 60 of Graduate Texts in Mathematics. Springer, Berlin 1978.
12. K. Schwarzschild, Gesammelte Werke, Ed. H. H. Voigt. Springer, Berlin 1992
13. K. Schwarzschild, Zur Quantenhypothese. Sitz. Ber. Kgl. Preuss. Akad. d. Wiss. Berlin 1916: 548-568, 1916.
14. William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling, Numerical Recipes in C. The Art of Scientific Computing, Cambridge University Press, Cambridge 1988.
15. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, New York 1965.
16. Paul F. Byrd, and Morris D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists. Springer, Berlin 1971.
17. H. R. Dullin, P. H. Richter, and A. Wittek, Chaos 6, 43 (1996).