Spectral Estimates for Magnetic Operators.
M. Melgaard, G. V. Rozenblum (1996)
Mathematica Scandinavica
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M. Melgaard, G. V. Rozenblum (1996)
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Amaury Mouchet (2012)
ESAIM: Proceedings
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For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral gaps) may be obtained rather systematically with a method proposed by H. Giacomini and A. Mouchet in 2007. The present article provides some alternative formulation of this method, suggests some possible generalizations and extensively discusses the higher-dimensional case.
Kozo Yatuba (1975)
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Yngve Domar (1967)
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Arne Jensen (1977)
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Lars-Ake Lindahl (1970)
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Rudolf A. Hirschfeld (1976)
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Michael Benedicks (1984)
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Assel, Rachid, Dimassi, Mouez (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35P20, 35J10, 35Q40. We give a complete pointwise asymptotic expansion for the Spectral Shift Function for Schrödinger operators that are perturbations of the Laplacian on Rn with slowly decaying potentials.
Rupert Lasser (1979)
Mathematica Scandinavica
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Korotyaev, E., Kutsenko, A. (2004)
Zapiski Nauchnykh Seminarov POMI
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Y. DOMAR (1956)
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Per Sjölin (1998)
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