Lectures on Witten-Helffer-Sjöstrand theory.
Burghelea, Dan (1997)
General Mathematics
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Displaying similar documents to “Submanifold Dirac operators with torsion.”
Lectures on Witten-Helffer-Sjöstrand theory.
Wüst's Theorem and Positively Perturbed Schrödinger Operators.
Herbert Leinfelder (1980)
Mathematische Zeitschrift
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Weak Asymptotics for Schrödinger Evolution
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.
Fundamental Solutions and Eigenfunction Expansions for Schrödinger Operators . I. Fundamental Solutions.
Hitoshi Kitada (1988)
Mathematische Zeitschrift
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Essential Self-Adjointness of Schrödinger Operators Bounded from Below.
Christian G. Simader (1978)
Mathematische Zeitschrift
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A multiplicity result for the Schrodinger-Maxwell equations with negative potential
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.
Bounds on resolvents of dilated Schrödinger operators with non trapping potentials
Pierre Duclos, Markus Klein (1985)
Journées équations aux dérivées partielles
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Regularization of atomic Schrödinger operators with magnetic field.
Bernard Helffer, Heinz Siedentop (1995)
Mathematische Zeitschrift
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Maxwell-Schrödinger equations in singular electromagnetic field
Qihong Shi, Yaqian Jia, Jianwei Yang (2024)
Applications of Mathematics
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We investigate the Cauchy problem of the one dimensional Maxwell-Schrödinger (MS) system under the Lorenz gauge condition. Different from the classical case, we consider the electromagnetic and electrostatic potentials which are growing at space infinity. More precisely, the electrostatic potential is allowed to grow linearly, while for the electromagnetic potential the growth is sublinear. Based on the energy estimates and the gauge transformation, we prove the global existence and...
Dispersion Phenomena in Dunkl-Schrödinger Equation and Applications
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.
Essential Self-Adjointness of Schrödinger Operators with Positive Potentials.
B. Simon (1973)
Mathematische Annalen
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The Torsion Form of Submanifolds in EN.
Dirk FERUS (1971)
Mathematische Annalen
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Schrödinger Operators with Singular Magnetic Vector Potentials.
Barry Simon (1973)
Mathematische Zeitschrift
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