The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice View Full Text


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Article Info

DATE

2009-03

AUTHORS

S. N. Lakaev, I. N. Bozorov

ABSTRACT

We consider the Hamiltonian \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \hat h_{\mu \lambda } ,\mu ,\lambda \geqslant 0 $$\end{document}, describing the motion of one quantum particle on a three-dimensional lattice in an external field. We investigate the number of eigenvalues and their arrangement depending on the value of the interaction energy for µ ≥ 0 and λ ≥ 0. More... »

PAGES

360-376

References to SciGraph publications

  • 2005-11-24. The Threshold Effects for the Two-Particle Hamiltonians on Lattices in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1993-07. On Efimov's effect in a system of three identical quantum particles in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • 1988. Solvable Models in Quantum Mechanics in NONE
  • 2004-08. Schrödinger Operators on Lattices. The Efimov Effect and Discrete Spectrum Asymptotics in ANNALES HENRI POINCARÉ
  • 1982-03. The symmetry and Efimov's effect in systems of three-quantum particles in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • <error retrieving object. in <ERROR RETRIEVING OBJECT
  • 1994-11. Merging of eigenvalues and resonances of a two-particle Schrödinger operator in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2005-01. Two-particle bound state spectrum of transfer matrices for Gibbs fields (Fields on the two-dimensional lattice. Adjacent levels) in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11232-009-0030-6

    DOI

    http://dx.doi.org/10.1007/s11232-009-0030-6

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