Some new results in spectral and scattering theory of differential operators on $R^n$

S. Agmon

Displaying similar documents to “Some new results in spectral and scattering theory of differential operators on $R^{n}$ ”

Long range scattering with Stark effect and almost periodic potentials.

White, Denis A.W. (1992)

International Journal of Mathematics and Mathematical Sciences

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Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity

Demontis, Francesco, der Mee, Cornelis van (2010)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10. In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ± ∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.