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arXiv 2006-03-05 1 views

Sharp Spectral Asymptotics for Magnetic Schrödinger Operator with Irregular Potential

Ivrii, Victor

Original · EN

Survey: In this paper I consider sharp spectral asymptotics for multidimensional magnetic Schrödinger operator with irregular coefficients with respect to two parameters -- semiclassical parameter h and coupling parameter μ. There are few principally different cases, depending on dimension, rank of magnetic intensity matrix, relation between h and μ and some extra assumptions.

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