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Counting Schr\"odinger boundstates: semiclassics and beyond by Rozenblum, G.; Solomyak, M. is a scholarly article available to read on EtoBox.

What is Counting Schr\"odinger boundstates: semiclassics and beyond about?

This is a survey of the basic results on the behavior of the number of the eigenvalues of a Schr\"odinger operator, lying below its essential spectrum. We discuss both fast decaying potentials, for which this behavior is semiclassical, and slowly decaying potentials, for which the semiclassical rules are violated. Some new results are presented, concerning operators on product manifolds and graphs.

Author

Rozenblum, G.; Solomyak, M.

Published

2008

Language

EN