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A system of three three-dimensional charged quantum particles: Asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity

✍ Scribed by V. S. Buslaev, S. B. Levin

Book ID
113065618
Publisher
Springer US
Year
2012
Tongue
English
Weight
145 KB
Volume
46
Category
Article
ISSN
0016-2663

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On the finiteness of the discrete spectr
On the finiteness of the discrete spectrum of Hamiltonians for quantum systems of three one- or two-dimensional particles
✍ S. A. Vugalter; G. M. Zhislin πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 270 KB

The system of three particles (acting in K dimensions (K = 1, 2)) without stable two-particle subsystems is studied. For short-range potentials V,j(r+]), the finiteness of the discrete spectrum is proved for any type of permutational symmetry.