Essential and Discrete Spectra of the Three-Particle Schrödinger Operator on a Lattice View Full Text


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Article Info

DATE

2003-06

AUTHORS

S. N. Lakaev, M. É. Muminov

ABSTRACT

We consider the system of three quantum particles (two are bosons and the third is arbitrary) interacting by attractive pair contact potentials on a three-dimensional lattice. The essential spectrum is described. The existence of the Efimov effect is proved in the case where either two or three two-particle subsystems of the three-particle system have virtual levels at the left edge of the three-particle essential spectrum for zero total quasimomentum (K = 0). We also show that for small values of the total quasimomentum (K ≠ 0), the number of bound states is finite. More... »

PAGES

849-871

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Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1024087105686

DOI

http://dx.doi.org/10.1023/a:1024087105686

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1040511916


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