Semiclassical amplitudes: Supercaustics and the whisker map

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 1, 2000, Pages 121071-1210710

  Maitra, N T ^a,c   Heller, E J ^a,b  

^a HARVARD UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5244317251     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. V. P. Maslov and M. V. Fedoriuk, Semiclassical Approximations in Quantum Mechanics (Reidel, Dordrecht, 1981); J. H. Van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928); M. C. Gutzwiller, J. Math. Phys. 8, 1979 (1967).
2. V. P. Maslov and M. V. Fedoriuk, Semiclassical Approximations in Quantum Mechanics (Reidel, Dordrecht, 1981); J. H. Van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928); M. C. Gutzwiller, J. Math. Phys. 8, 1979 (1967).
3. V. P. Maslov and M. V. Fedoriuk, Semiclassical Approximations in Quantum Mechanics (Reidel, Dordrecht, 1981); J. H. Van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928); M. C. Gutzwiller, J. Math. Phys. 8, 1979 (1967).
4. E. J. Heller, J. Chem. Phys. 67, 3339 (1977); and in Lectures in 1989 NATO Les Houches Lectures, Summer School on Chaos and Quantum Physics, edited by M-J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier, Amsterdam, 1991), p. 547.
5. E. J. Heller, J. Chem. Phys. 67, 3339 (1977); and in Lectures in 1989 NATO Les Houches Lectures, Summer School on Chaos and Quantum Physics, edited by M-J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier, Amsterdam, 1991), p. 547.
6. E. J. Heller, J. Chem. Phys. 67, 3339 (1977).
7. M. V. Berry and K. E. Mount, Rep. Prog. Phys. 35, 315 (1972).
8. N. N. Lebedev, Special Functions and Their Applications (Dover, New York, 1972).
9. N. T. Maitra and E. J. Heller, Phys. Rev. A 54, 4763 (1996).
10. V. I. Arnold, Dokl. Akad. Nauk. SSSR 156, 9 (1964).
11. G. M. Zaslavskii and N. N. Filonenko, Sov. Phys. JETP 27, 851 (1968).
12. B. V. Chirikov, Phys. Rep. 52, 263 (1979).
13. A. J. Lichtenherg and M. A. Lieberman, Regular and Chaotic Dynamics, 2nd ed. (Springer-Verlag, New York, 1992).
14. N. Bubner and R. Graham, Phys. Rev. A 43, 1783 (1991); N. T. Maitra and E. J. Heller, Phys. Rev. E (to be published).
15. N. Bubner and R. Graham, Phys. Rev. A 43, 1783 (1991); N. T. Maitra and E. J. Heller, Phys. Rev. E (to be published).
16. S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 67, 664 (1991); Phys. Rev. E 47, 282 (1993).
17. S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 67, 664 (1991); Phys. Rev. E 47, 282 (1993).
18. M. Sepúlveda, S. Tomsovic, and E. J. Heller, Phys. Rev. Lett. 69, 402 (1992).