Geodesic
Spectral properties of a~Hamiltonian of a~four-particle system on a~lattice
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2010), pp. 32-43

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We consider a Hamiltonian of a system of four arbitrary quantum particles with pair contact (noncompact) potentials on a three-dimensional lattice perturbed by three-partial contact potentials. We describe the essential spectrum of the Schrödinger operator that corresponds to the four-particle system.
Keywords: Hamiltonian of a four-particles system, Schrödinger operator, essential spectrum, compact operator. 
@article{IVM_2010_12_a2,
     author = {M. E. Muminov and U. R. Shodiev},
     title = {Spectral properties of {a~Hamiltonian} of a~four-particle system on a~lattice},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {32--43},
     publisher = {mathdoc},
     number = {12},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_12_a2/}
}
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M. E. Muminov; U. R. Shodiev. Spectral properties of a~Hamiltonian of a~four-particle system on a~lattice. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2010), pp. 32-43. http://geodesic.mathdoc.fr/item/IVM_2010_12_a2/