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)

Cited by 53 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The eigenvalue ratio of the vibrating strings with mixed boundary condition;Mathematical Methods in the Applied Sciences;2023-09-10

2. Sharp bounds for Dirichlet eigenvalue ratios of the Camassa–Holm equations;Mathematische Annalen;2022-12-27

3. Eigenvalue ratios for vibrating string equations with single-well densities;Journal of Differential Equations;2022-01

4. Boundary Effects on Eigen-problems of Discrete Laplacian in Lattices;Taiwanese Journal of Mathematics;2022-01-01

5. Stability analysis of nontrivial stationary solution and constant equilibrium point of reaction–diffusion neural networks with time delays under Dirichlet zero boundary value;Neurocomputing;2021-07