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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Displaying similar documents to “Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.”
Far from equilibrium steady states of 1D-Schrödinger–Poisson systems with quantum wells I
Embedded eigenvalues and resonances of Schrödinger operators with two channels
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.
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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Spectral theory for a mathematical model of the weak interaction. I: The decay of the intermediate vector bosons .
Barbaroux, J.-M., Guillot, J.-C. (2009)
Advances in Mathematical Physics
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-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues.
Kozlov, Vladimir (2006)
Abstract and Applied Analysis
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Semiclassical resonances in some simple cases
Johannes Sjöstrand (1986)
Journées équations aux dérivées partielles
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Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field
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...
On an example of phase-space tunneling
Shu Nakamura (1995)
Annales de l'I.H.P. Physique théorique
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