Spectral properties of the monodromy matrix for Harper equation
Journées équations aux dérivées partielles (1996), article no. 4, 11 p. 
@incollection{JEDP_1996____A4_0,
     author = {Vladimir Buslaev and Alexander Fedotov},
     title = {Spectral properties of the monodromy matrix for {Harper} equation},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {4},
     pages = {1--11},
     year = {1996},
     publisher = {\'Ecole polytechnique},
     doi = {10.5802/jedp.497},
     mrnumber = {98m:81032},
     zbl = {0874.39006},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.497/}
}
TY  - JOUR
AU  - Vladimir Buslaev
AU  - Alexander Fedotov
TI  - Spectral properties of the monodromy matrix for Harper equation
JO  - Journées équations aux dérivées partielles
PY  - 1996
SP  - 1
EP  - 11
PB  - École polytechnique
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.497/
DO  - 10.5802/jedp.497
LA  - en
ID  - JEDP_1996____A4_0
ER  - 
%0 Journal Article
%A Vladimir Buslaev
%A Alexander Fedotov
%T Spectral properties of the monodromy matrix for Harper equation
%J Journées équations aux dérivées partielles
%D 1996
%P 1-11
%I École polytechnique
%U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.497/
%R 10.5802/jedp.497
%G en
%F JEDP_1996____A4_0
Vladimir Buslaev; Alexander Fedotov. Spectral properties of the monodromy matrix for Harper equation. Journées équations aux dérivées partielles (1996), article  no. 4, 11 p.. doi: 10.5802/jedp.497

[BS] J. Bellissard, B. Simon, Cantor spectrum for the almost Mathieu equation, Journal of functional analysis 48 No 3 (1982). | MR | Zbl

[BF1] V. Buslaev, A. Fedotov, The functional structure of a monodromy matrix for Harper equation, Operator Theory : Advances and Applications 70 (1994), 321-342. | MR | Zbl

[BF2] V. Buslaev, A. Fedotov, On a class of matrices related to Harper equation, Reports of Mittag-Leffler Institute 19 (1993), 1-37.

[BF3] V. Buslaev, A. Fedotov, Complex WKB method for Harper equation. I, Algebra and Analysis (in russian, transl.in english: in St. Petersburg Jour. of Math.) 6 No 3 (1994), 59-83. | MR | Zbl

[BF4] V. Buslaev, A. Fedotov, Monodromization and Harper equation, Equations aux dérivées partielles. Ecole Polytechnique, Paris, France (1994), XXI-1-XXI-21. | MR | Zbl

[BF5] V. Buslaev, A. Fedotov, Bloch solutions of difference equations, Algebra and Analysis (in russian, engl. translation in St. Petersburg Jour. of Math.) 7 No 4 (1995), 74-121. | MR | Zbl

[BF6] V. Buslaev, A. Fedotov, Harper equation: Monodromization without semi-classics, Algebra and Analysis (in russian, engl. translation in St. Petersburg Jour. of Math.) 8 No 2 (1996), 75-109.

[BF7] V. Buslaev, A. Fedotov, Harper equation: Asymptotics of entire solutions for big values of the spectral parameter, to appear.

[HS] B. Helffer, J. Sjöstrand, Analyse semi-classique pour l'équation de Harper, Mémoire de la SMF 34 (1988). | Numdam | Zbl

[H] D. Hofstadter, Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields, Phys. Rev. B 14 (1976), 2239-2249.

Cité par Sources :