On the Discrete Spectrum of the Three-Particle Schrödinger Operator on a Two-Dimensional Lattice

Author:

Muminov Z. I.,Aliev N. M.,Radjabov T.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference26 articles.

1. G. Graf and D. Schenker, ‘‘2-magnon scattering in the Heisenberg model,’’ Ann. Inst. Henri Poincaré, Phys. Théor. 67, 91–107 (1997).

2. S. Lakaev, ‘‘The Efimov effect of a system of three identical quantum lattice particles,’’ Funktsion. Anal. Prilozh. 27, 15–28 (1993).

3. D. Yafaev, Scattering Theory: Some Old and New Problems, Vol. 1735 of Lecture Notes in Mathematics (Springer, Berlin, 2000).

4. D. Mattis,‘‘The few-body problem on a lattice,’’ Rev. Mod. Phys. 58, 361–379 (1986).

5. A. Mogilner, ‘‘Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results,’’ Adv. Sov. Math., No. 5, 139–194 (1991).

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