Analytic scattering theory of quantum mechanical three-body systems
Erik Balslev (1980)
Annales de l'I.H.P. Physique théorique
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Erik Balslev (1980)
Annales de l'I.H.P. Physique théorique
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D. R. Yafaev (1990)
Annales de l'I.H.P. Physique théorique
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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...
Lech Zieliński (1999)
Colloquium Mathematicae
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We prove the asymptotic completeness of the quantum scattering for a Stark Hamiltonian with a time dependent interaction potential, created by N classical particles moving in a constant electric field.
Yannick Gâtel, Dimitri Yafaev (1999)
Annales de l'institut Fourier
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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.
H. Baumgärtel (1982)
Banach Center Publications
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Johannes Sjöstrand (1986)
Journées équations aux dérivées partielles
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S. L. Robinson (1988)
Annales de l'I.H.P. Physique théorique
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