Periodic Schrödinger Operators with (Non-Periodic) Magnetic and Electric Potentials.
Rainer Hempel (1984)
Manuscripta mathematica
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Rainer Hempel (1984)
Manuscripta mathematica
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J. Bourgain (1996)
Geometric and functional analysis
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Tatiana Suslina (2000)
Journées équations aux dérivées partielles
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The lecture is devoted to the problem of absolute continuity of the spectrum of periodic operators. A general approach to this problem was suggested by L. Thomas in 1973 for the case of the Schrödinger operator with periodic electric potential. Further application of his method to concrete operators of mathematical physics met analytic difficulties. In recent years several new problems in this area have been solved. We propose a survey of known results in this area, including very recent,...
Marco Degiovanni, Fabio Giannoni, Antonio Marino (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study the existence of regular periodic solutions to some dynamical systems whose potential energy is negative, has only a singular point and goes to zero at iniìnity. We give sufficient conditions to the existence of periodic solutions of assigned period which do not meet the singularity.
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Forum mathematicum
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J. Ligęza (1977)
Annales Polonici Mathematici
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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Marco Degiovanni, Fabio Giannoni, Antonio Marino (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We study the existence of regular periodic solutions to some dynamical systems whose potential energy is negative, has only a singular point and goes to zero at iniìnity. We give sufficient conditions to the existence of periodic solutions of assigned period which do not meet the singularity.
G. J. Butler (1974)
Annales Polonici Mathematici
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G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Plamen Djakov, Boris Mityagin (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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Bonetto, Federico, Mastropietro, Vieri (1996)
Mathematical Physics Electronic Journal [electronic only]
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