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Physics Universal Lower Bounds on Eigenvalue Splittings ... - Caltech

Physics Universal Lower Bounds on Eigenvalue Splittings ... - Caltech

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460 W. Kirsch and B. Sim<strong>on</strong><br />

10. Magnus, W., Winkler, S.: Hill's equati<strong>on</strong>, New York: Interscience, 1966, Dover editi<strong>on</strong> available<br />

11. Sim<strong>on</strong>, B.: Semiclassical analysis of low lying eigenvalues, III. Width of the ground state band in<br />

str<strong>on</strong>gly coupled solids. Ann. Phys. (to appear)<br />

12. W<strong>on</strong>g, B., Yau, S. S. T., Yau, S. -T.: An estimate of the gap of the first two eigenvalues in the<br />

Schrόdinger operator. Preprint<br />

Communicated by T. Spencer<br />

Received June 11, 1984; in revised form August 10, 1984

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