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Asymptotic Completeness for Compton Scattering
"... Scattering in a model of a massive quantummechanical particle, an "electron", interacting with massless, relativistic bosons, "photons", is studied. The interaction term in the Hamiltonian of our model describes emission and absorption of "photons" by the "electro ..."
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Cited by 39 (8 self)
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of the scattering matrix is proven, provided the coupling constant is small enough; (asymptotic completeness of Compton scattering). The proof combines a construction of dressed oneelectron states with propagation estimates for the "electron" and the "photons".
Asymptotic Completeness for Rayleigh Scattering
 J. Math. Phys
, 1997
"... . We consider an electron bound by some anharmonic external potential and coupled to the quantized radiation field in the dipole approximation. We prove asymptotic completeness for the photon scattering. This means that an arbitrary initial state has a long time asymptotic, which consists of electr ..."
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Cited by 28 (0 self)
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. We consider an electron bound by some anharmonic external potential and coupled to the quantized radiation field in the dipole approximation. We prove asymptotic completeness for the photon scattering. This means that an arbitrary initial state has a long time asymptotic, which consists
Asymptotic Completeness for Rayleigh Scattering
, 2002
"... It is expected that the state of an atom or molecule, initially put into an excited state with an energy below the ionization threshold, relaxes to a groundstate by spontaneous emission of photons which propagate to spatial infinity. In this paper, this picture is established for a large class of ..."
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Cited by 37 (17 self)
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It is expected that the state of an atom or molecule, initially put into an excited state with an energy below the ionization threshold, relaxes to a groundstate by spontaneous emission of photons which propagate to spatial infinity. In this paper, this picture is established for a large class of models of nonrelativistic atoms and molecules coupled to the quantized radiation field, but with the simplifying feature that an (arbitrarily tiny, but positive) infrared cutoff is imposed on the interaction Hamiltonian.
On the asymptotic completeness of the Volterra calculus. Appendix by H. Mikaleyan and
"... Abstract. The Volterra calculus is a simple and powerful pseudodifferential tool for inverting parabolic equations and it has also found many applications in geometric analysis. On the other hand, an important property in the theory of pseudodifferential operators is the asymptotic completeness, whi ..."
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Cited by 4 (4 self)
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Abstract. The Volterra calculus is a simple and powerful pseudodifferential tool for inverting parabolic equations and it has also found many applications in geometric analysis. On the other hand, an important property in the theory of pseudodifferential operators is the asymptotic completeness
Asymptotic completeness in quantum field theory. Massive PauliFierz Hamiltonians
, 1997
"... Spectral and scattering theory of massive PauliFierz Hamiltonians is studied. Asymptotic completeness of these Hamiltonians is shown. The proof consists of three parts. The first is a construction of asymptotic fields and a proof of their Fock property. The second part is a geometric analysis of ob ..."
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Cited by 93 (7 self)
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Spectral and scattering theory of massive PauliFierz Hamiltonians is studied. Asymptotic completeness of these Hamiltonians is shown. The proof consists of three parts. The first is a construction of asymptotic fields and a proof of their Fock property. The second part is a geometric analysis
Mathematical Physics Asymptotic Completeness for Compton Scattering
, 2004
"... Abstract: Scattering in a model of a massive quantummechanical particle, an “electron”, interacting with massless, relativistic bosons, “photons”, is studied. The interaction term in the Hamiltonian of our model describes emission and absorption of “photons” by the “electron”; but “electronpositr ..."
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is proven, provided the coupling constant is small enough; (asymptotic completeness of Compton scattering). The proof combines a construction of dressed one–electron states with propagation estimates for the “electron ” and the “photons”.
An asymptotic complete intersection theorem for chain products
, 1998
"... Let Nℓ(n, k) be the set of all ntuples over the alphabet {0, 1,...,k} whose component sum equals ℓ. A subset F ⊆ Nℓ(n, k) is called a tintersecting family if every two tuples in F have nonzero entries in at least t common coordinates. We determine the maximum size of a tintersecting family in N⌊λ ..."
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Cited by 1 (1 self)
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⌊λn⌋(n, k) asymptotically for all fixed λ (0 <λ<k) and n →∞. c ○ 1999 Academic Press 1.
Results 1  10
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