Schroedinger Operator with Strong Magnetic Field: Propagation of singularities and sharper asymptotics - Mathematics > Spectral TheoryReportar como inadecuado




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Abstract: We consider 2-dimensional Schr\-odinger operator with the non-degeneratingmagnetic field and we discuss spectral asymptotics with the remainder estimate$o\mu^{-1}h^{-1}$ or better. We also consider 3-dimensional Schr\-odingeroperator with the non-degenerating magnetic field and we discuss spectralasymptotics with the remainder estimate $o\mu^{-1}h^{-1}$ or better.We also consider generalized Schr\-odinger-Pauli operator in the sameframework albeit with $\mu h\ge 1$ and derive spectral asymptotics with theremainder estimate up to $Oh^{-1}|\log h|$ and with the principal part$\asymp \mu h^{-2}$.



Autor: Victor Ivrii

Fuente: https://arxiv.org/



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