On a Class of non Linear Schrödinger Equations with non Local Interaction.
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Displaying 1 – 16 of 16
On eigenfunction expansions and scattering theory.
Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
On non-overdetermined inverse scattering at zero energy in three dimensions
Roman G. Novikov (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We develop the -approach to inverse scattering at zero energy in dimensions of [Beals, Coifman 1985], [Henkin, Novikov 1987] and [Novikov 2002]. As a result we give, in particular, uniqueness theorem, precise reconstruction procedure, stability estimate and approximate reconstruction for the problem of finding a sufficiently small potential in the Schrödinger equation from a fixed non-overdetermined (“backscattering” type) restriction of the Faddeev generalized scattering amplitude in the...
On resonances in mathematical scattering theory
Michael Demuth (1982)
Banach Center Publications
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
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.
On the applications of a new technique to solve linear differential equations, with and without source.
Gurappa, N., Jha, Pankaj K., Panigrahi, Prasanta K. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
On the completeness in three body scattering
Kalyan B. Sinha, M. Krishna, Pl. Muthuramalingam (1984)
Annales de l'I.H.P. Physique théorique
On the computation of bounds for low energy Compton scattering parameters : proof of a conjecture
G. Auberson, G. Mennessier (1979)
Annales de l'I.H.P. Physique théorique
On the derivation of the Gross-Pitaevskii equation
Riccardo Adami (2005)
Bollettino dell'Unione Matematica Italiana
This article reflects in its content the talk the author gave at the XVII Congresso dellUnione Matematica Italiana, held in Milano, 8-13 September 2003. We review about some recent results on the problem of deriving the Gross-Pitaevskii equation in dimension one from the dynamics of a quantum system with a large number of identical bosons. We explain the motivations for some peculiar choices (shape of the interaction potential, scaling, initial datum). Open problems are pointed out and difficulties...
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)
On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics
A. V. Sobolev, D. R. Yafaev (1986)
Annales de l'I.H.P. Physique théorique
On the Scattering Matrix for N-Particle Hamiltonians
D. Yafaev (1992/1993)
Publications mathématiques et informatique de Rennes
On the scattering theory for quantum dynamical semigroups
Robert Alicki (1981)
Annales de l'I.H.P. Physique théorique
On the structure of the wave operators in one dimensional potential scattering.
Kellendonk, Johannes, Richard, Serge (2008)
Mathematical Physics Electronic Journal [electronic only]
On trace theorems for pseudo-differential operators
N. Lerner, D. Yafaev (1995/1996)
Séminaire Équations aux dérivées partielles (Polytechnique)
Opérateurs de temps-retard dans la théorie de la diffusion
Xue Ping Wang (1985)
Publications mathématiques et informatique de Rennes
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