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Radiation Conditions and Scattering Theory for N-Particle Hamiltonians (Main Ideas of the Approach)

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Operator Calculus and Spectral Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 57))

Abstract

The correct form of radiation conditions is found in scattering problem for N-particle quantum systems. The estimates obtained allow us to give an elementary proof of asymptotic completeness for such systems in the framework of the theory of smooth perturbations. Here we outline main ideas of this proof.

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© 1992 Springer Basel AG

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Yafaev, D. (1992). Radiation Conditions and Scattering Theory for N-Particle Hamiltonians (Main Ideas of the Approach). In: Demuth, M., Gramsch, B., Schulze, BW. (eds) Operator Calculus and Spectral Theory. Operator Theory: Advances and Applications, vol 57. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8623-9_27

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  • DOI: https://doi.org/10.1007/978-3-0348-8623-9_27

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9703-7

  • Online ISBN: 978-3-0348-8623-9

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