On the essential spectrum of a~four-particle Schr\"odinger operator on a~lattice
Matematičeskie trudy, Tome 13 (2010) no. 1, pp. 169-185
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The Hamiltonian of a system of four arbitrary quantum particles with three-particle short-range interaction potentials on a three-dimensional lattice is examined. The location of the essential spectrum of this Hamiltonian is described by Faddeev's equations.
@article{MT_2010_13_1_a7,
author = {M. I. Muminov and U. R. Shodiev},
title = {On the essential spectrum of a~four-particle {Schr\"odinger} operator on a~lattice},
journal = {Matemati\v{c}eskie trudy},
pages = {169--185},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2010_13_1_a7/}
}
TY - JOUR AU - M. I. Muminov AU - U. R. Shodiev TI - On the essential spectrum of a~four-particle Schr\"odinger operator on a~lattice JO - Matematičeskie trudy PY - 2010 SP - 169 EP - 185 VL - 13 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MT_2010_13_1_a7/ LA - ru ID - MT_2010_13_1_a7 ER -
M. I. Muminov; U. R. Shodiev. On the essential spectrum of a~four-particle Schr\"odinger operator on a~lattice. Matematičeskie trudy, Tome 13 (2010) no. 1, pp. 169-185. http://geodesic.mathdoc.fr/item/MT_2010_13_1_a7/