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

S. Abramovich

doi:10.1090/S0002-9939-1991-1036981-X

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

S. Abramovich

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	451-453
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	111
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1991-1036981-X
State	Published - Feb 1991
Externally published	Yes

Keywords

Eigenvalue gaps
Schrodinger operators

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1991-1036981-X

Cite this

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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).",

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AB - 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).

KW - Eigenvalue gaps

KW - Schrodinger operators

UR - https://www.scopus.com/pages/publications/84968469581

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DO - 10.1090/S0002-9939-1991-1036981-X

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JF - Proceedings of the American Mathematical Society

IS - 2

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

Abstract

Keywords

ASJC Scopus subject areas

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