Time-dependent variational approach to the phonon dispersion relation of the commensurate quantum frenkel-kontorova model

Chinese Physics Letters

Volumn 23, Issue 8, 2006, Pages 1965-1968

  Zhong, Hong Wei ^a   Tang, Yi ^a  

^a XIANGTAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); DISPERSIONS; MOLECULAR DYNAMICS; PHONONS; QUANTUM ELECTRONICS;

CONDITION; EQUATION OF MOTION; FRENKEL-KONTOROVA MODELS; MANY BODY; PHONON DISPERSION RELATIONS; SINGLE PARTICLE STATE; TIME DEPENDENT; TRIAL WAVEFUNCTION; UNCERTAINTY; VARIATIONAL APPROACHES;

EQUATIONS OF MOTION;

EID: 33746433991     PISSN: 0256307X     EISSN: 17413540     Source Type: Journal    
DOI: 10.1088/0256-307X/23/8/002     Document Type: Article

References (35)

1. Frenkel Y I and Kontorova T K 1938 Zh. Eksp. Teor. Fiz. 8 1340
2. Frank F C and Van der Merwe J H 1949 Proc. Roy. Soc. London 198 205
3. Braun O M and Kivshar Y S 1998 Phys. Rep. 306 1
4. Bak P 1982 Rep. Prog. Phys. 45 587
5. Aubry S 1983 Physica D 7 240
6. Aubry S and Le Daeron P Y 1983 Physica D 8 381
7. Peyard M and Aubry S 1983 J. Phys. C 16 1593
8. Mackay R S, Meiss J D and Percival I C 1984 Physica D 13 55
9. Xu A G, Wang G R and Chen S G 1997 Chin. Phys. Lett. 11 820
10. Xu H B, Xu A G, Wang G R and Chen S G 2000 Chin. Phys. Lett. 17 255
11. Xu H B, Wang G R and Chen S G 2000 Chin. Phys. Lett. 17 689
12. Hontsu S and Ishii J 1988 J. Appl. Phys. 63 2021
13. Ustinov A V and Cirillo M 1993 Phys. Rev. B 47 8357
14. Van der Zant H S J and Orlando T P 1995 Phys. Rev. Lett. 74 174
15. Watanabe S, Van der Zant H S J, Strogatz S H and Orlando T P 1996 Physica D 97 429
16. Rozman M G, Urbakh M and Klafter J 1996 Phys. Rev. Lett 77 683
17. Rozman M G, Urbakh M and Klafter J 1996 Phys. Rev. E 54 6485
18. Weiss M and Elmer F J 1996 Phys. Rev. B 53 7539
19. Zaloj V, Urbakh M and Klafter K 1998 Phys. Rev. Lett. 81 1227
20. Borgonovi F, Guarneri I and Shepelyansky D L 1989 Phys. Rev. Lett. 63 2010
21. Borgonovi F, Guarneri I and Shepelyansky D L 1990 Z. Phys. B 79 133
22. Berman G P, Bulgakov E N and Campbell D K 1994 Phys. Rev. B 49 8212
23. Berman G P, Bulgakov E N and Campbell D K 1997 Physica D 107 161
24. Hu B, Li B and Zhang W M 1998 Phys. Rev. E 58 4068
25. Hu B and Li B 2000 Physica A 288 81
26. Ho C L and Chou C I 2000 Phys. Rev. E 63 016203
27. Hu B and Li B 1999 Europhys. Lett. 46 655
28. Hu B, Li B and Zhao H 2001 Europhys. Lett. 53 342
29. Zhirov O V, Casati G and Shepelyansky D L 2003 Phys. Rev. E 67 056209
30. Krajewski F R and Müser M H 2005 J. Chem. Phys. 122 124711
31. Krajewski F R and Müser M H 2004 Phys. Rev. Lett. 92 030601
32. Dirac P A M 1930 Proc. Cambridge Philos. Soc. 26 376
33. Jackiw R and Kerman A 1979 Phys. Lett. A 71 158
34. Cooper F, Pi S Y and Stancioff P N 1986 Phys. Rev. D 34 3831
35. Tsue Y and Fujiwara Y 1991 Prog. Theor. Phys. 86 443