Far from equilibrium steady states of 1D-Schrödinger–Poisson systems with quantum wells I
V. Bonnaillie-Noël, F. Nier, Y. Patel (2008)
Annales de l'I.H.P. Analyse non linéaire
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V. Bonnaillie-Noël, F. Nier, Y. Patel (2008)
Annales de l'I.H.P. Analyse non linéaire
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Xue Ping Wang (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this article, we give a necessary and sufficient condition in the perturbation regime on the existence of eigenvalues embedded between two thresholds. For an eigenvalue of the unperturbed operator embedded at a threshold, we prove that it can produce both discrete eigenvalues and resonances. The locations of the eigenvalues and resonances are given.
Victor Ivrii (1991)
Journées équations aux dérivées partielles
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Barbaroux, J.-M., Guillot, J.-C. (2009)
Advances in Mathematical Physics
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Kozlov, Vladimir (2006)
Abstract and Applied Analysis
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Johannes Sjöstrand (1986)
Journées équations aux dérivées partielles
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Michael Melgaard (2003)
Open Mathematics
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For fixed magnetic quantum number m results on spectral properties and scattering theory are given for the three-dimensional Schrödinger operator with a constant magnetic field and an axisymmetrical electric potential V. In various, mostly singular settings, asymptotic expansions for the resolvent of the Hamiltonian H m+Hom+V are deduced as the spectral parameter tends to the lowest Landau threshold. Furthermore, scattering theory for the pair (H m, H om) is established and asymptotic...
Shu Nakamura (1995)
Annales de l'I.H.P. Physique théorique
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