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TMF, 2000, Volume 123, Number 1, Pages 81–87 (Mi tmf587)  

This article is cited in 2 scientific papers (total in 2 papers)

Essential Schrödinger operator spectrum of one system of four particles on a lattice

Zh. I. Abdullaev

A. Navoi Samarkand State University

Abstract: The energy operator of a system of four particles on a lattice where only two pairs of the particles interact is considered. There exist four mutually orthogonal subspaces, invariant with respect to the energy operator and such that their direct sum is equal to the entire space. The spectra of the restrictions of the energy operator to these invariant spaces are found. The dependence of the essential spectrum on the binary interaction is examined. The absence of bound states of this operator is demonstrated.

DOI: https://doi.org/10.4213/tmf587

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English version:
Theoretical and Mathematical Physics, 2000, 123:1, 483–488

Bibliographic databases:

Received: 01.07.1999

Citation: Zh. I. Abdullaev, “Essential Schrödinger operator spectrum of one system of four particles on a lattice”, TMF, 123:1 (2000), 81–87; Theoret. and Math. Phys., 123:1 (2000), 483–488

Citation in format AMSBIB
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\by Zh.~I.~Abdullaev
\paper Essential Schr\"odinger operator spectrum of one system of four particles on a lattice
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\yr 2000
\vol 123
\issue 1
\pages 81--87
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\jour Theoret. and Math. Phys.
\yr 2000
\vol 123
\issue 1
\pages 483--488
\crossref{https://doi.org/10.1007/BF02551054}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Albeverio, S, “On the finiteness of the discrete spectrum of four-particle lattice Schrodinger operators”, Reports on Mathematical Physics, 51:1 (2003), 43  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    2. Kovacs, E, “Four electrons in a two-leg Hubbard ladder: exact ground states”, Journal of Physics A-Mathematical and General, 38:48 (2005), 10273  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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