The gap between the first two eigenvalues of a one-dimensional schrodinger operator with symmetric potential

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Abstract

We prove the inequality for the difference of the first two eigenvalues of one-dimensional Schrodinger operators where V1 and V0 are symmetricpotentials on (a, b) and on (a, (a + b)/2), and V0 - V1 is decreasing on (a(3a + b)/4).

Original languageEnglish
Pages (from-to)451-453
Number of pages3
JournalProceedings of the American Mathematical Society
Volume111
Issue number2
DOIs
StatePublished - Feb 1991
Externally publishedYes

Keywords

  • Eigenvalue gaps
  • Schrodinger operators

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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