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This article is cited in 22 scientific papers (total in 22 papers)
Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice
Zh. I. Abdullaev, S. N. Lakaev A. Navoi Samarkand State University
Abstract:
We consider the Hamiltonian $H_\mu(K)$ of a system consisting of three bosons that interact through attractive pair contact potentials on a three-dimensional integer lattice. We obtain an asymptotic value for the number $N(K,z)$ of eigenvalues of the operator $H_{\mu_0}(K)$ lying below $z\le0$ with respect to the total quasimomentum $K\to0$ and the spectral parameter $z\to-0$.
Keywords:
asymptotics, Schrödinger operator, essential spectrum, discrete spectrum, Hilbert–Schmidt operator.
Received: 23.07.2002 Revised: 30.11.2002
Citation:
Zh. I. Abdullaev, S. N. Lakaev, “Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice”, TMF, 136:2 (2003), 231–245; Theoret. and Math. Phys., 136:2 (2003), 1096–1109
Linking options:
https://www.mathnet.ru/eng/tmf218https://doi.org/10.4213/tmf218 https://www.mathnet.ru/eng/tmf/v136/i2/p231
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Abstract page: | 510 | Full-text PDF : | 224 | References: | 65 | First page: | 1 |
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