Comparison Theorems for the Eigenvalue Gap of Schr?dinger Operators on the Real Line |
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| Authors: | Duo-Yuan Chen Min-Jei Huang |
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| Institution: | 1. Department of Mathematics, National Tsing Hua University, Hsinchu, 30043, Taiwan
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| Abstract: | We establish several comparison results on the eigenvalue gap for Schr?dinger operators on the real line. The potentials we
consider here include symmetric single-well, double-well, U
c
-class, M
c
-class as well as their perturbations. Some related results on the eigenvalue ratio are also discussed. |
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| Keywords: | |
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