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The discrete spectrum in the gaps of a second-order perturbed periodic operator

โœ Scribed by M. Sh. Birman


Publisher
Springer US
Year
1991
Tongue
English
Weight
282 KB
Volume
25
Category
Article
ISSN
0016-2663

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The Discrete Spectrum in the Spectral Ga
โœ O.L. Safronov ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 105 KB

Given two self-adjoint operators A and V = V + -V -, we study the motion of the eigenvalues of the operator A t = A -tV as t increases. Let ฮฑ > 0 and let ฮป be a regular point for A. We consider the quantities N + V ฮป ฮฑ , N -V ฮป ฮฑ , and N 0 V ฮป ฮฑ defined as the number of eigenvalues of the operator A