A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure

Author:

Pavlov B.

Publisher

Birkhäuser Basel

Reference77 articles.

1. V. Adamjan, D. Arov, On a class of scattering operators and characteristic operator-functions of contractions. (Russian) Dokl. Akad. Nauk SSSR 160 (1965) pp. 9–12.

2. V. Adamyan, B. Pavlov, Local Scattering problem and a Solvable model of Quantum Network. In: Operator Theory: Advances and Applications, Vol. 198, Birkhäuser Verlag, Basel/Switzerland, (2009) pp. 1–10.

3. V. Adamyan, B. Pavlov, A. Yafyasov, Modified Krein Formula and analytic perturbation procedure for scattering on arbitrary junction. International Newton Institute report series NI07016, Cambridge, 18 April 2007, 33p. To be published in the proceedings of M.G. Krein memorial conference, Odessa, April 2007.

4. N.I. Akhiezer, I.M. Glazman, Theory of Linear Operators in Hilbert Space, (Frederick Ungar, Publ., New York, vol. 1, 1966) (translated from Russian by M. Nestel).

5. S. Albeverio, P. Kurasov, Singular Perturbations of Differential Operators, London Math. Society Lecture Note Series 271. Cambridge University Press (2000).

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