Existence and completeness of wave operators are proved for Jacobi matrices under the Szegő condition on the spectral measure together with a mild assumption on Verblunsky coefficients.
Ruelle, A remark on bound states in potential-scattering theory,Il Nuovo Cimento A (1965–1970)61(1969), no
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Wave operators for Jacobi matrices
Existence and completeness of wave operators are proved for Jacobi matrices under the Szegő condition on the spectral measure together with a mild assumption on Verblunsky coefficients.