The accuracy of semiclassical quantization for an integrable system - The hyperspherical billiard

Journal of Physics A: Mathematical and General

Volumn 32, Issue 41, 1999, Pages 7093-7107

  Rahav, Saar ^a   Agam, Oded ^b   Fishman, Shmuel ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033569257     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/41/305     Document Type: Article

References (24)

1. Berry M V and Mount K E 1972 Rep. Prog. Phys. 35 315
2. Heading J 1962 An Introduction to Phase-Integral Methods (London: Methuen)
3. Fröman N and Fröman P O 1965 JWKB Approximation (Amsterdam: North-Holland)
4. Dunham J L 1932 Phys. Rev. 41 713
5. Bender C M, Olaussen K and Wang P S 1977 Phys. Rev. D 16 1740
6. Bender C M and Orszag S A 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill)
7. Gutzwiller M C 1991 The semi-classical quantization of chaotic Hamiltonian systems Proc. 1989 Les Houches Summer School on Chaos and Quantum Physics ed M J Giannoni et al (Amsterdam: Elsevier) pp 201-49
8. Primack H and Smilansky U 1998 J. Phys. A: Math. Gen. 31 6253
9. Dahlqvist P 1999 Error of semiclassical eigenvalues in the semiclassical limit - an asymptomatic analysis of the Sinai billiard J. Phys. A: Math. Gen. 32 to appear (Dahlqvist P 1998 Preprint chao-dyn/9812017)
10. Dahlqvist P 1999 Error of semiclassical eigenvalues in the semiclassical limit - an asymptomatic analysis of the Sinai billiard J. Phys. A: Math. Gen. 32 to appear (Dahlqvist P 1998 Preprint chao-dyn/9812017)
11. Fabre de la Ripelle M 1970 C. R. Acad. Sci. Paris 270 9 Fabre de la Ripelle M and Navarro J 1979 Ann. Phys. 123 185
12. Fabre de la Ripelle M 1970 C. R. Acad. Sci. Paris 270 9 Fabre de la Ripelle M and Navarro J 1979 Ann. Phys. 123 185
13. Prosen T and Robnik M 1993 J. Phys. A: Math. Gen. 26 L37
14. Boasman P A 1994 Nonlinearity 7 485
15. Agam O 1995 Non-universal properties of chaotic systems PhD Thesis Technion
16. Robnik M and Salasnich L 1997 J. Phys. A: Math. Gen. 30 1711
17. Avery J 1989 Hyperspherical Harmonics (Dordrecht: Kluwer)
18. Watson G N 1958 A Treatise on the Theory of Bessel Functions (Cambridge: Cambridge University Press)
19. Langer R E 1937 Phys. Rev. 51 669
20. Robnik M and Salasnich L 1997 J. Phys. A: Math. Gen. 30 1719
21. Salasnich L and Sattin F 1997 J. Phys. A: Math. Gen. 30 7597
22. Lazutkin VF 1993 KAM Theory and Semiclassical Approximations to Eigenfunctions (Berlin: Springer)
23. Alonso D and Gaspard P 1993 Chaos 3 601
24. Goldstein H 1980 Classical Mechanics (Reading, MA: Addison-Wesley)