Geodesic
Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 2, pp. 231-245 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Zh. I. Abdullaev and S. N. Lakaev},
     title = {Asymptotics of the {Discrete} {Spectrum} of the {Three-Particle} {Schr\"odinger} {Difference} {Operator} on a {Lattice}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Zh. I. Abdullaev; S. N. Lakaev. Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 2, pp. 231-245. http://geodesic.mathdoc.fr/item/TMF_2003_136_2_a3/

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