Développements asymptotiques pour des perturbations fortes de l'opérateur de Schrödinger périodique
Displaying 21 – 40 of 116
Distribution of matrix elements and level spacings for classically chaotic systems
Monique Combescure, Didier Robert (1994)
Annales de l'I.H.P. Physique théorique
Effets dispersifs dans les équations de Schrödinger et de Vlasov
François Castella (1997/1998)
Séminaire Équations aux dérivées partielles
Eigenmodes of the damped wave equation and small hyperbolic subsets
Gabriel Rivière (2014)
Annales de l’institut Fourier
We study stationary solutions of the damped wave equation on a compact and smooth Riemannian manifold without boundary. In the high frequency limit, we prove that a sequence of -damped stationary solutions cannot be completely concentrated in small neighborhoods of a small fixed hyperbolic subset made of -damped trajectories of the geodesic flow.The article also includes an appendix (by S. Nonnenmacher and the author) where we establish the existence of an inverse logarithmic strip without eigenvalues...
Eigenvalue distribution of random operators and matrices
Leonid Pastur (1991/1992)
Séminaire Bourbaki
Entropy and localization of eigenfunctions
Nalini Anantharaman (2006/2007)
Séminaire Équations aux dérivées partielles
Équation de Schrödinger magnétique périodique avec symétrie d'ordre six : mesure du spectre II
Philippe Kerdelhue (1995)
Annales de l'I.H.P. Physique théorique
Équations de Schrödinger avec potentiels singuliers et à longue portée dans l'approximation de liaison forte
Franck Daumer (1996)
Annales de l'I.H.P. Physique théorique
Équilibre instable en régime semi-classique. II. Conditions de Bohr-Sommerfeld
Yves Colin de Verdière, Bernard Parisse (1994)
Annales de l'I.H.P. Physique théorique
Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.
Jecko, Thierry (2007)
Mathematical Physics Electronic Journal [electronic only]
Estimation des résidus de la matrice de diffusion associés à des résonances de forme I
Amina Benbernou-Lahmar (1999)
Annales de l'I.H.P. Physique théorique
Estimations exponentielles en théorie de la diffusion pour des opérateurs de Schrödinger matriciels
Mohammed Benchaou, André Martinez (1999)
Annales de l'I.H.P. Physique théorique
Estimations sur l'effet tunnel microlocal
André Martinez (1991/1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
Étude semi-classique d'une perturbation d'un opérateur de Schrödinger périodique
Frédéric Klopp (1991)
Annales de l'I.H.P. Physique théorique
Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Shapovalov, Alexander, Trifonov, Andrey, Lisok, Alexander (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Explicit summation of the constituent WKB series and new approximate wave functions.
Kudryashov, Vladimir V., Vanne, Yulian V. (2002)
Journal of Applied Mathematics
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
From multi-instantons to exact results
Jean Zinn-Justin (2003)
Annales de l’institut Fourier
In these notes, conjectures about the exact semi-classical expansion of eigenvalues of hamiltonians corresponding to potentials with degenerate minima, are recalled. They were initially motivated by semi-classical calculations of quantum partition functions using a path integral representation and have later been proven to a large extent, using the theory of resurgent functions. They take the form of generalized Bohr--Sommerfeld quantization formulae. We explain here their...
Functional integral approaches to the bosonization of effective multi-quark interactions with breaking.
Hiller, Brigitte, Osipov, Alexander A., Bernard, Véronique, Blin, Alex H. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Global existence of solutions to Schrödinger equations on compact riemannian manifolds below
Sijia Zhong (2010)
Bulletin de la Société Mathématique de France
In this paper, we will study global well-posedness for the cubic defocusing nonlinear Schrödinger equations on the compact Riemannian manifold without boundary, below the energy space, i.e. , under some bilinear Strichartz assumption. We will find some , such that the solution is global for .