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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

##### MSC:
 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
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##### References:
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