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On the finiteness of the discrete spectrum of Hamiltonians for quantum systems of three one- or two-dimensional particles

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Publication:1201375
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DOI10.1007/BF00398402zbMath0759.35033MaRDI QIDQ1201375

G. M. Zhislin, Semjon A. Vugalter

Publication date: 17 January 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

symmetrynonsmooth decompositions


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40)


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Absence of the Efimov effect in a homogeneous magnetic field ⋮ Unnamed Item ⋮ Asymptotic distribution of negative eigenvalues for three-body systems in two dimensions: Efimov effect in the antisymmetric space ⋮ Unnamed Item ⋮ The absence of the Efimov effect in systems of one- and two-dimensional particles



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