Some new results in spectral and scattering theory of differential operators on
S. Agmon (1978-1979)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “A coerciveness inequality for a class of nonelliptic operators and its applications”
Some new results in spectral and scattering theory of differential operators on
Wave operators for momentum dependent long range potential
A. M. Berthier, P. Collet (1977)
Annales de l'I.H.P. Physique théorique
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Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity
Demontis, Francesco, der Mee, Cornelis van (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10. In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ± ∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.
Non-existence of wave operators for Stark effect Hamiltonians.
Tohru Ozawa (1991)
Mathematische Zeitschrift
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Completeness of wave operators in two Hilbert spaces
Martin Schechter (1979)
Annales de l'I.H.P. Physique théorique
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Long range scattering with Stark effect and almost periodic potentials.
White, Denis A.W. (1992)
International Journal of Mathematics and Mathematical Sciences
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On the structure of the wave operators in one dimensional potential scattering.
Kellendonk, Johannes, Richard, Serge (2008)
Mathematical Physics Electronic Journal [electronic only]
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Radiation conditions and scattering theory for -particle quantum systems
D. Yafaev (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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The Existence of Wave Operators in Scattering Theory.
Lars Hörmander (1976)
Mathematische Zeitschrift
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Long range scattering and modified wave operators for Hartree equations
Jean Ginibre, Giorgio Velo (1999)
Journées équations aux dérivées partielles
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We study the theory of scattering for the Hartree equation with long range potentials. We prove the existence of modified wave operators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.