A Comparison Theorem of the Eigenvalue Gap for One-Dimensional Barrier potentials

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The fundamental gap between the lowest two Dirichlet eigenvalues for a Schrodinger operator $H_R = -frac{d^2}{dx^2} + V(x)$ on $L^2([-R,R])$ is compared with the gap for a same operator $H_S$ with a different domain $[-S,S]$ and the difference is exponentially small when the potential has a large barrier.
Publisher
KOREAN MATHEMATICAL SOC
Issue Date
2000
Language
English
Citation

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.37, no.2, pp.353 - 360

ISSN
1015-8634
URI
http://hdl.handle.net/10203/5734
Appears in Collection
MT-Journal Papers(저널논문)
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