The magnetic Schrödinger operator and reverse Hölder class
Zhongwei Shen (1996)
Journées équations aux dérivées partielles
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Displaying similar documents to “Estimates for a number of negative eigenvalues of the Schrödinger operator with intensive magnetic field”
The magnetic Schrödinger operator and reverse Hölder class
Magnetic Schrödinger Operator: Geometry, Classical and Quantum Dynamics and Spectral Asymptotics
Victor Ivrii (2006-2007)
Séminaire Équations aux dérivées partielles
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I study the Schrödinger operator with the strong magnetic field, considering links between geometry of magnetic field, classical and quantum dynamics associated with operator and spectral asymptotics. In particular, I will discuss the role of short periodic trajectories.
Hardy-type estimates for Dirac operators
Jean Dolbeault, Maria J. Esteban, Javier Duoandikoetxea, Luis Vega (2007)
Annales scientifiques de l'École Normale Supérieure
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Eigenvalue asymptotics for Schrödinger and Dirac operators with the constant magnetic field and with electric potential decreasing at infinity
Victor Ivrii (1991)
Journées équations aux dérivées partielles
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Lower bounds for Schrödinger equations
Charles Fefferman, D. H. Phong (1982)
Journées équations aux dérivées partielles
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Resonances of two-dimensional Schrödinger operators with strong magnetic fields
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). ...
Transport in a molecular motor system
Michel Chipot, Stuart Hastings, David Kinderlehrer (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical energy. This suggests that, in nonequilibrium systems, fluctuations may be oriented or organized to do work. Here we seek to understand how this is manifested by quantitative mathematical portrayals of these systems.