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The nuclear method in potential scattering theory

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Publication:810839
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DOI10.1007/BF01671931zbMath0734.47003MaRDI QIDQ810839

Dimitri Yafaev, Mikhail Sh. Birman

Publication date: 1991

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

existence and completeness of the wave operatorstrace-class method


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)


Related Items (3)

Existence and completeness of the wave operators for higher order differential operators ⋮ On the weak and ergodic limit of the spectral shift function ⋮ On the mathematical work of M. Sh. Birman




Cites Work

  • Spectral representations for Schrödinger operators with long-range potentials
  • A pure point spectrum of the stochastic one-dimensional Schrödinger operator
  • Wave operators and unitary equivalence
  • Remarks on singularities of finite codimension in complex dynamical systems
  • On the existence and the unitary property of the scattering operator
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