On semiclassical dispersion relations of Harper-like operators

Journal of Physics A: Mathematical and General

Volumn 37, Issue 48, 2004, Pages 11681-11698

  Pankrashkin, Konstantin ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10844294038     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/48/010     Document Type: Article

References (29)

1. Harper P G 1955 Proc. Phys. Soc. A 68 874
2. Azbel M Ya 1964 Zh. Eksp. Teor. Fiz. 46 929 Azbel M Ya 1964 Sov. Phys. - JETP 19 634 (Engl. Transl.)
3. Azbel M Ya 1964 Zh. Eksp. Teor. Fiz. 46 929 Azbel M Ya 1964 Sov. Phys. - JETP 19 634 (Engl. Transl.)
4. Langbein D 1969 Phys. Rev. II 180 633
5. Brüning J, Dobrokhotov S Yu, Geyler V A and Pankrashkin K V 2003 Pis. Zh. Eksp. Teor. Fiz. 77 743 Brüning J, Dobrokhotov S Yu, Geyler V A and Pankrashkin K V 2003 JETP Lett. 77 616 (Engl. Transl.)
6. Brüning J, Dobrokhotov S Yu, Geyler V A and Pankrashkin K V 2003 Pis. Zh. Eksp. Teor. Fiz. 77 743 Brüning J, Dobrokhotov S Yu, Geyler V A and Pankrashkin K V 2003 JETP Lett. 77 616 (Engl. Transl.)
7. Faure F 2000 J. Phys. A: Math. Gen. 33 531
8. Hofstadter D 1976 Phys. Rev. B 14 2239
9. Wilkinson M 1984 Proc. R. Soc. A 391 305
10. Helffer B and Sjöstrand J 1989 Semi-classical analysis for Harper's equation: III. Cantor structure of the spectrum Mem. Soc. Math. Fr. 39 Buslaev V S and Fedotov A A 1995 St Petersberg Math. J. 6 495
11. Helffer B and Sjöstrand J 1989 Semi-classical analysis for Harper's equation: III. Cantor structure of the spectrum Mem. Soc. Math. Fr. 39 Buslaev V S and Fedotov A A 1995 St Petersberg Math. J. 6 495
12. Watson G I 1991 J. Phys. A: Math. Gen. 24 4999
13. Aubry S and André G 1980 Ann. Isr. Phys. Soc. 3 133
14. Brüning J, Dobrokhotov S Yu and Pankrashkin K V 2002 Russ. J. Math. Phys. 9 14 and 400
15. Last Y and Wilkinson M 1992 J. Phys. A: Math. Gen. 25 6123 Thouless D J 1990 Commun. Math. Phys. 127 187
16. Last Y and Wilkinson M 1992 J. Phys. A: Math. Gen. 25 6123 Thouless D J 1990 Commun. Math. Phys. 127 187
17. Thouless D J, Kohmoto M, Nightingale M P and den Nijs M 1982 Phys. Rev. Lett. 49 405
18. Colin de Verdière Y and Parisse B 1999 Commun. Math. Phys. 205 459
19. Demikhovskii V Ya 2003 Pis. Zh. Eksp. Teor. Fiz. 78 1177 Demikhovskii V Ya 2003 JETP Lett. 78 680 (Engl. Transl.)
20. Demikhovskii V Ya 2003 Pis. Zh. Eksp. Teor. Fiz. 78 1177 Demikhovskii V Ya 2003 JETP Lett. 78 680 (Engl. Transl.)
21. Filonov N 2001 Probl. Mat. Anal. 22 246 Filonov N 2001 J. Math. Sci. 106 3078 Friedlander L 2002 Commun. Math. Phys. 229 49
22. Filonov N 2001 Probl. Mat. Anal. 22 246 Filonov N 2001 J. Math. Sci. 106 3078 Friedlander L 2002 Commun. Math. Phys. 229 49
23. Filonov N 2001 Probl. Mat. Anal. 22 246 Filonov N 2001 J. Math. Sci. 106 3078 Friedlander L 2002 Commun. Math. Phys. 229 49
24. Faure F and Parisse B 2000 J. Math. Phys. 41 62
25. Maslov V P and Fedoryuk M V 1981 Semi-classical Approximation in Quantum Mechanics (Math. Phys. Appl. Math. vol 7) (Dordrecht: Reidel)
26. Hatsugai Y 1993 Phys. Rev. B 48 11851 Hatsugai Y 1993 Phys. Rev. Lett. 71 3697
27. Hatsugai Y 1993 Phys. Rev. B 48 11851 Hatsugai Y 1993 Phys. Rev. Lett. 71 3697
28. Brüning J, Dobrokhotov S Yu and Pankrashkin K V 2002 Teor. Mat. Fiz. 131 304 Brüning J, Dobrokhotov S Yu and Pankrashkin K V 2002 Theor. Math. Phys. 131 705 (Engl. Transl.)
29. Brüning J, Dobrokhotov S Yu and Pankrashkin K V 2002 Teor. Mat. Fiz. 131 304 Brüning J, Dobrokhotov S Yu and Pankrashkin K V 2002 Theor. Math. Phys. 131 705 (Engl. Transl.)