Lectures on Witten-Helffer-Sjöstrand theory.
Burghelea, Dan (1997)
General Mathematics
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Burghelea, Dan (1997)
General Mathematics
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Herbert Leinfelder (1980)
Mathematische Zeitschrift
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S. A. Denisov (2010)
Mathematical Modelling of Natural Phenomena
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In this short note, we apply the technique developed in [Math. Model. Nat. Phenom., 5 (2010), No. 4, 122-149] to study the long-time evolution for Schrödinger equation with slowly decaying potential.
Hitoshi Kitada (1988)
Mathematische Zeitschrift
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Christian G. Simader (1978)
Mathematische Zeitschrift
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Giuseppe Maria Coclite (2002)
Annales Polonici Mathematici
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We prove the existence of a sequence of radial solutions with negative energy of the Schrödinger-Maxwell equations under the action of a negative potential.
Pierre Duclos, Markus Klein (1985)
Journées équations aux dérivées partielles
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Bernard Helffer, Heinz Siedentop (1995)
Mathematische Zeitschrift
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Mejjaoli, H. (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35Q55,42B10. In this paper, we study the Schrödinger equation associated with the Dunkl operators, we study the dispersive phenomena and we prove the Strichartz estimates for this equation. Some applications are discussed.
B. Simon (1973)
Mathematische Annalen
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Dirk FERUS (1971)
Mathematische Annalen
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Barry Simon (1973)
Mathematische Zeitschrift
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Arne Jensen (1994)
Mathematische Annalen
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Tuan Duong, Anh (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 81Q20 (35P25, 81V10). The purpose of this paper is to study the Schrödinger operator P(B,w) = (Dx-By^2+Dy^2+w^2x^2+V(x,y),(x,y) О R^2, with the magnetic field B large enough and the constant w № 0 is fixed and proportional to the strength of the electric field. Under certain assumptions on the potential V, we prove the existence of resonances near Landau levels as B®Ґ. Moreover, we show that the width of resonances is of size O(B^-Ґ). ...