Spectral asymptotics for Schrödinger operators with a degenerate potential
Françoise Truc (2001-2002)
Séminaire de théorie spectrale et géométrie
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Displaying similar documents to “Some asymptotics for cranks”
Spectral asymptotics for Schrödinger operators with a degenerate potential
On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section
D. R. Yafaev (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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D. R. Yafaev (1990)
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Scattering theory: Some old and new problems.
Yafaev, D. (1998)
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Semiclassical Resonances and trace formulae for non-semi-bounded Hamiltonians
Mouez Dimassi, Vesselin Petkov (2003-2004)
Séminaire Équations aux dérivées partielles
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Eigenvalue asymptotics for Schrödinger and Dirac operators with the constant magnetic field and with electric potential decreasing at infinity
Victor Ivrii (1991)
Journées équations aux dérivées partielles
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On solutions of the Schrödinger equation with radiation conditions at infinity : the long-range case
Yannick Gâtel, Dimitri Yafaev (1999)
Annales de l'institut Fourier
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We consider the homogeneous Schrödinger equation with a long-range potential and show that its solutions satisfying some a priori bound at infinity can asymptotically be expressed as a sum of incoming and outgoing distorted spherical waves. Coefficients of these waves are related by the scattering matrix. This generalizes a similar result obtained earlier in the short-range case.