The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles

DOI10.1016/S0034-4877(09)00017-2zbMath1180.81061arXivmath-ph/0501024OpenAlexW1994018314MaRDI QIDQ2390688

Ramiza Kh. Djumanova, Sergio A. Albeverio, Saidachmat Lakaev

Publication date: 3 August 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0501024

zbMATH Keywords

essential spectrumHilbert-Schmidt operatorsFriedrichs modelinfinitely many eigenvaluesEfimov's effectFaddeev-Newton type system of integral equations

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

On the eigenvalues of a 2ˣ2 block operator matrix ⋮ Essential spectrum of a model operator associated with a three-particle system on a lattice ⋮ Conditions for the existence of eigenvalues of a three-particle lattice model Hamiltonian ⋮ The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice ⋮ Study of the essential spectrum of a matrix operator ⋮ Уравнение Фаддеева и местоположение существенного спектра одного трeхчастичного модельного оператора ⋮ О существенном спектре одного модельного оператора, ассоциированного с системой трeх частиц на решeтке

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