Abstract
We consider a system of three one-dimensional particles with one of pair potentials Vα (x α) decaying at infinity as \( |{{x}^{\alpha }}{{|}^{{ - \rho }}},0 < \rho < 1/2 \). It is shown that such a system can possess channels of scattering not included in the usual list of channels called the asymptotic completeness. Similar channels arise in a two-body system with a long-range potential if a traditional condition on its derivatives is relaxed.
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© 1995 Birkhäuser Verlag Basel/Switzerland
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Yafaev, D. (1995). New Channels of Scattering for Long-Range Potential. In: Demuth, M., Schulze, BW. (eds) Partial Differential Operators and Mathematical Physics. Operator Theory Advances and Applications, vol 78. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9092-2_44
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DOI: https://doi.org/10.1007/978-3-0348-9092-2_44
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9903-1
Online ISBN: 978-3-0348-9092-2
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