The magnetic Schrödinger operator and reverse Hölder class
Zhongwei Shen (1996)
Journées équations aux dérivées partielles
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Zhongwei Shen (1996)
Journées équations aux dérivées partielles
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Bernard Helffer, Heinz Siedentop (1995)
Mathematische Zeitschrift
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Pierre Duclos, Markus Klein (1985)
Journées équations aux dérivées partielles
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S.Z: Levendorski (1996)
Mathematische Zeitschrift
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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). ...
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.
Jecko, Thierry (2005)
Mathematical Physics Electronic Journal [electronic only]
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Victor Ivrii (1991)
Journées équations aux dérivées partielles
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Astaburuaga, María Angélica, Briet, Philippe, Bruneau, Vincent, Fernández, Claudio, Raikov, Georgi (2008)
Serdica Mathematical Journal
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We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator H has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum. We perturb H by appropriate scalar potentials V and investigate the transformation of these embedded eigenvalues into resonances. First, we assume that the electric potentials are dilation-analytic with respect to the variable...
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.
Herbert Leinfelder (1980)
Mathematische Zeitschrift
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Christian G. Simader (1978)
Mathematische Zeitschrift
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Hitoshi Kitada (1988)
Mathematische Zeitschrift
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Diagana, Toka (2002)
International Journal of Mathematics and Mathematical Sciences
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