Path integral quantization of fermi-pasta-ulam solitons

Physica Status Solidi (B) Basic Research

Volumn 237, Issue 1, 2003, Pages 124-132

  Schulman, L S ^a  

^a CLARKSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038238518     PISSN: 03701972     EISSN: None     Source Type: Journal    
DOI: 10.1002/pssb.200301791     Document Type: Article

References (33)

1. L. S. Schulman, Techniques and Applications of Path Integration, Wiley Classics edition (Wiley, New York, 1996).
2. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
3. A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1983).
4. E. Fermi, J. Pasta, and S. Ulam, Technical Report No. LA-1940, Los Alamos, 1955; reprinted in: Enrico Fermi, Collected Papers, Vol. II (University of Chicago Press, Chicago, 1965).
5. S. Flach and V. Fleurov, J. Phys., Condens. Matter 9, 7039 (1997).
6. S. Flach, V. Fleurov, and A. A. Ovchinnikov, Phys. Rev. B 63, 094304 (2001).
7. V. Fleurov, R. Schilling, and S. Flach, Phys. Rev. E 58, 339 (1998).
8. W. Z. Wang, J. Tinka Gammel, A. R. Bishop, and M. I. Salkola, Phys. Rev. Lett. 76, 3598 (1996).
9. A. Einstein, Verh. Dtsch. Phys. Ges. 19, 82 (1917).
10. L. Brillouin, J. Phys. Radium 7, 353 (1926).
11. J. B. Keller, Ann. Phys. 4, 180 (1958).
12. W. Bastes and R. A. Marcus, J. Chem. Phys. 61, 4301 (1974).
13. D. W. Noid and R. A. Marcus, J. Chem. Phys. 62, 2119 (1975).
14. D. W. Noid, M. L. Koszykowski, and R. A. Marcus, J. Chem. Phys. 67, 404 (1977).
15. D. W. Noid and R. A. Marcus, J. Chem. Phys. 67, 559 (1977).
16. K. Polák, M. Nikl, and E. Mihóková, J. Lumin. 54, 189 (1992).
17. E. Mihóková, M. Nikl, K. Polák, and K. Nitsch, J. Phys.: Condens. Matter 6, 293 (1994).
18. B. Gaveau, E. Mihóková, M. Nikl, K. Polák, and L. S. Schulman, Phys. Rev. B 58, 6938 (1998).
19. B. Gaveau, E. Mikóková, M. Nikl, K. Polák, and L. S. Schulman, J. Lumin. 92, 311 (2001).
20. E. Mihóková, L. S. Schulman, M. Nikl, B. Gaveau, K. Polák, K. Nitsch, and D. Zimmerman, Phys. Rev. B, to appear (2002).
21. L. S. Schulman, E. Mihóková, A. Scardicchio, P. Facchi, M. Nikl, K. Polák, and B. Gaveau, Phys. Rev. Lett. 88, 224101 (2002).
22. A. J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988).
23. L. D. Faddeev and V. E. Korepin, Phys. Rep. 42, 1 (1978).
24. J. Ford, Phys. Rep. 213, 271 (1992).
25. H. Hasegawa, M. Robnik, and G. Wunner, Prog. Theor. Phys. Suppl. 98, 198 (1989).
26. J. Zak, Phys. Rev. 187, 1803 (1969).
27. J. G. Muga, R. Sala-Mayato, and I. L. Egusquiza, Time in Quantum Mechanics (Springer-Verlag, Berlin, 2002).
28. L. S. Schulman, preprint (2003).
29. L. S. Schulman, J. Math. Phys. 12, 304 (1971).
30. L. Cohen, J. Math. Phys. 11, 3296 (1970).
31. R. Fanelli, J. Math. Phys. 16, 1729 (1975).
32. L. Van Hove, Mem. Cl. Sci. Acad. R. Belg. 26, 610 (1951).
33. H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, Massachusetts, 1980).