On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators

Michael Aizenman and Elliott H. Lieb
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Michael Aizenman: Princeton University, Department of Physics
Elliott H. Lieb: Princeton University, Departments of Mathematics and Physics

A chapter in Inequalities, 2002, pp 239-241 from Springer

Abstract: Abstract Our principal result is that if the semiclassical estimate is a bound for some moment of the negative eigenvalues (as is known in some cases in one-dimension), then the semiclassical estimates are also bounds for all higher moments.

Date: 2002
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DOI: 10.1007/978-3-642-55925-9_21

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