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Wegner estimate and Anderson localization for random magnetic fields
Wegner estimate Anderson localization random Schr¨odinger operator
2011/2/25
We consider a two dimensional magnetic Schr¨odinger operator with a spatially stationary random magnetic field. We assume that the magnetic field has a positive lower bound and that it has Fourier mod...
Minimizers of the Lawrence-Doniach Functional with Oblique Magnetic Fields
Calculus of variations elliptic equations and systems superconductivity,
2010/12/1
We study minimizers of the Lawrence{Doniach energy, which describes equilibrium states of superconductors with layered structure, assuming Floquet-periodic boundary conditions.
Quantum Equivalent Magnetic Fields that Are Not Classically Equivalent
Quantum Equivalent Magnetic Fields Not Classically Equivalent
2010/11/29
We construct pairs of compact K¨ahler-Einstein manifolds (Mi, gi, !i) (i = 1, 2)of complex dimension n with the following properties.