The Iorio-O'Carroll theorem for an \(N\)-particle lattice Hamiltonian

DOI10.1007/BF02071455zbMath0979.81088MaRDI QIDQ1292008

Yu. V. Zhukov

Publication date: 23 September 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

existencescatteringcoupling constantasymptotic completenesswave operators\(N\)-particle quantum lattice systemfree Hamiltonians

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theories for operators and differential equations in quantum theory (81Q15) Quantum scattering theory (81U99)

Related Items (4)

Spectrum of a model three-particle Schrödinger operator ⋮ On the number of negative eigenvalues of a partial integral operator ⋮ On the essential and the discrete spectra of a Fredholm type partial integral operator ⋮ Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

Cites Work

• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• The Iorio-O'Carroll theorem for general lattice Hamiltonians.
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