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Schroedinger Operator with Strong Magnetic Field: Propagation of singularities and sharper asymptotics - MaRDI portal

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Schroedinger Operator with Strong Magnetic Field: Propagation of singularities and sharper asymptotics

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Publication:6502749

arXiv1005.0486MaRDI QIDQ6502749

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Abstract: We consider 2-dimensional Schr"odinger operator with the non-degenerating magnetic field and we discuss spectral asymptotics with the remainder estimate o(mu1h1) or better. We also consider 3-dimensional Schr"odinger operator with the non-degenerating magnetic field and we discuss spectral asymptotics with the remainder estimate o(mu1h1) or better. We also consider generalized Schr"odinger-Pauli operator in the same framework albeit with muhge1 and derive spectral asymptotics with the remainder estimate up to O(h1|logh|) and with the principal part asympmuh2.





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