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Dispersive Charge Transfer Model with Long-Range Quantum Interactions

โœ Scribed by Lech Zielinski


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
327 KB
Volume
217
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


We present a method of proving the asymptotic completeness of wave operators associated with the scattering of a quantum particle in a field of classical particles with long-range interactions, based on some propagation estimates of the type recently developed in the theory of N-body systems. The approach allows us to treat a class of dispersive systems where the free Hamiltonian has the form ลฝ .

ลฝ . H sp D , covering, for example, the case of the relativistic Hamiltonian p s 0 ลฝ 2 < < 2 . 1r2 c q .


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