Optimal bounds for ratios of eigenvalues of one-dimensional Schr�dinger operators with Dirichlet boundary conditions and positive potentials-Reference-Cited by-同舟云学术

Optimal bounds for ratios of eigenvalues of one-dimensional Schr�dinger operators with Dirichlet boundary conditions and positive potentials

Published:1989-09 Issue:3 Volume:124 Page:403-415
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun.Math. Phys.

Author:

Ashbaugh Mark S.,Benguria Rafael D.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF01219657.pdf

Reference22 articles.

1. Ashbaugh, M. S., Benguria, R. D.: Best constant for the ratio of the first two eigenvalues of one-dimensional Schrödinger operators with positive potentials. Proc. Am. Math. Soc.99, 598?599 (1987)

2. Lecture Notes in Mathematics;M. S. Ashbaugh,1987

3. Pitman Research Notes in Mathematics Series;M. S. Ashbaugh,1988

4. Barnsley, M. F.: Lower bounds for quantum-mechanical energy levels, J. Phys.A 11, 55?68 (1978)

5. Benguria, R. D.: A note on the gap between the first two eigenvalues for the Schrödinger operator. J. Phys.A 19, 477?478 (1986)

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