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Comparison theorems for the gap of Schrödinger operators. (English) Zbl 0661.35062
The authors try to estimate the gap \(E_ 1-E_ 0\) for the two lowest eigenvalues, in general dimension, of the Schrödinger operator \(-\Delta +V\) under some conditions on V. The basic result is a comparison theorem for the gaps of two Schrödinger operators, with applications to explicit lower bounds of the gap.
Reviewer: C.Zuily

35P15 Estimates of eigenvalues in context of PDEs
35J10 Schrödinger operator, Schrödinger equation
35Q99 Partial differential equations of mathematical physics and other areas of application
Full Text: DOI
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