Abstract
One studies a periodic Schroedinger operator in L2(ℝ) perturbed by a potential decreasing at infinity in the mean.Criteria of infinitude and finiteness of the discrete spectrum in gaps are given. Similar results for a semiinfinite gap of the perturbed periodic Schroedinger operator in L2(ℝn),n≥3, are obtained.
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References
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© 1990 Birkhäuser Verlag Basel
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Khryashchev, S.V. (1990). Discrete Spectrum for a Periodic Schroedinger Operator Perturbed by a Decreasing Potential. In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_9
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DOI: https://doi.org/10.1007/978-3-0348-7306-2_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7308-6
Online ISBN: 978-3-0348-7306-2
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