An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
作者： Jürgen Moser , Jürgen Pöschel
DOI: 10.1007/BF02566337
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sci-hub.se 参考文章(19)
Shinichi Kotani, Ljapunov Indices Determine Absolutely Continuous Spectra of Stationary Random One-dimensional Schrödinger Operators North-holland Mathematical Library. ,vol. 32, pp. 225- 247 ,(1984) , 10.1016/S0924-6509(08)70395-7
Joseph Avron, Barry Simon, Almost periodic Schrödinger operators II. The integrated density of states Duke Mathematical Journal. ,vol. 50, pp. 369- 391 ,(1983) , 10.1215/S0012-7094-83-05016-0
W. A. Coppel, Dichotomies in Stability Theory ,(1978)
Helmut Rüssmann, On optimal estimates for the solutions of linear partial differential equations of first order with constant coefficients on the torus Dynamical Systems, Theory and Applications. ,vol. 38, pp. 598- 624 ,(1975) , 10.1007/3-540-07171-7_19
E. I. Dinaburg, Ya. G. Sinai, The one-dimensional Schrödinger equation with a quasiperiodic potential Functional Analysis and Its Applications. ,vol. 9, pp. 279- 289 ,(1976) , 10.1007/BF01075873
Robert J Sacker, George R Sell, A Spectral Theory for Linear Differential Systems Journal of Differential Equations. ,vol. 27, pp. 320- 358 ,(1978) , 10.1016/0022-0396(78)90057-8
B M Levitan, ALMOST PERIODICITY OF INFINITE-ZONE POTENTIALS Mathematics of the USSR-Izvestiya. ,vol. 18, pp. 249- 273 ,(1982) , 10.1070/IM1982V018N02ABEH001388
Russell A. Johnson, George R. Sell, Smoothness of spectral subbundles and reducibility of quasi-periodic linear differential systems Journal of Differential Equations. ,vol. 41, pp. 262- 288 ,(1981) , 10.1016/0022-0396(81)90062-0
P. Deift, B. Simon, Almost periodic Schrödinger operators: III. The absolutely continuous spectrum in one dimension Communications in Mathematical Physics. ,vol. 90, pp. 389- 411 ,(1983) , 10.1007/BF01206889
R. Johnson, J. Moser, The rotation number for almost periodic potentials Communications in Mathematical Physics. ,vol. 84, pp. 403- 438 ,(1982) , 10.1007/BF01208484