Absence of point spectrum for a class of discrete Schrödinger operators with quasiperiodic potential.
Masahiro Kaminaga (1996)
Forum mathematicum
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Displaying similar documents to “Almost localization and almost reducibility”
Absence of point spectrum for a class of discrete Schrödinger operators with quasiperiodic potential.
On the Essential Spectrum of Schrödinger Operators with Spherically Symmetric Potentials.
Hubert Kalf, Rainer Hempel, Andreas M. Hinz (1987)
Mathematische Annalen
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Finiteness of the Lower Spectrum of Schrödinger Operators.
John Piepenbrink (1974)
Mathematische Zeitschrift
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Note to the paper by R. Hempel, A. M. Hinz, and H. Kalf: On the Essential Spectrum of Schrödinger Operators with Spherically Symmetric Potentials.
J. Weidmann (1987)
Mathematische Annalen
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On the Fröhlich-Spencer-Estimate in the theory of anderson localization.
Jürgen Pöschel (1991)
Manuscripta mathematica
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On spectral problems of discrete Schrödinger operators
Chi-Hua Chan, Po-Chun Huang (2021)
Applications of Mathematics
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A special type of Jacobi matrices, discrete Schrödinger operators, is found to play an important role in quantum physics. In this paper, we show that given the spectrum of a discrete Schrödinger operator and the spectrum of the operator obtained by deleting the first row and the first column of it can determine the discrete Schrödinger operator uniquely, even though one eigenvalue of the latter is missing. Moreover, we find the forms of the discrete Schrödinger operators when their smallest...
On operators with the same spectrum
Gh. Constantin (1975)
Matematički Vesnik
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Perturbation properties of the spectrum of periodic Schrödinger operators
Marek Burnat, Jan Herczyński, Bogdan Zawisza (1987)
Banach Center Publications
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On the Spectra of Schrödinger Operators with a Complex Potential.
W.D. Evans (1981)
Mathematische Annalen
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The spectrum band structure of the three-dimensional Schrödinger operator with periodic potential.
M.M. Skriganov (1985)
Inventiones mathematicae
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Polynomial boundedness of eigensolutions and the spectrum of Schrödinger operators.
Andreas M. Hinz, Günter Stolz (1992)
Mathematische Annalen
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The fine spectra of some Cesàro generalized operators defined on ().
Bucur, Amelia (1996)
General Mathematics
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On the generalized Kato spectrum
Benharrat, Mohammed, Messirdi, Bekkai (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 47A10. We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.
Diagonals of Self-adjoint Operators with Finite Spectrum
Marcin Bownik, John Jasper (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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Given a finite set X⊆ ℝ we characterize the diagonals of self-adjoint operators with spectrum X. Our result extends the Schur-Horn theorem from a finite-dimensional setting to an infinite-dimensional Hilbert space analogous to Kadison's theorem for orthogonal projections (2002) and the second author's result for operators with three-point spectrum (2013).