Sharp Spectral Asymptotics for 2-dimensional Schr\"odinger operator with a strong but degenerating magnetic field. II

arXivmath/0603117MaRDI QIDQ6476817

Victor Ivrii

Publication date: 4 March 2006

Abstract: I consider the same operator as in part I assuming however that $mugeC{h}^{-1}$ and $V$ is replaced by $(2l+1)muhF+W$ with $$. Under some non-degeneracy conditions I recover remainder estimates up to $$ but now case $mugeC{h}^{-u}$ is no more forbidden and the principal part is of magnitude $mu{h}^{-1}$.

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20)

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