Wave Equation and Causality Violation
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Alain Bachelot (2001/2002)
Séminaire Équations aux dérivées partielles
Demontis, Francesco, der Mee, Cornelis van (2010)
Serdica Mathematical Journal
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.
Martin Schechter (1980)
Aequationes mathematicae
Nicolas Lerner (1996/1997)
Séminaire Équations aux dérivées partielles
Bernard Ducomet (2010)
Applications of Mathematics
We consider an effective model of nuclear matter including spin and isospin degrees of freedom, described by an -body Hamiltonian with suitably renormalized two-body and three-body interaction potentials. We show that the corresponding mean-field theory (the time-dependent Hartree-Fock approximation) is “exact” as tends to infinity.
Michael Oberguggenberger (1986)
Mathematische Annalen
Hrubý, J. (1984)
Proceedings of the 11th Winter School on Abstract Analysis
Schuch, Dieter, Moshinsky, Marcos (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Thomas Alazard, Rémi Carles (2009)
Annales de l'I.H.P. Analyse non linéaire
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