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On symbolic-numerical representation of the evolution operator for finite-dimensional quantum systems

✍ Scribed by A. Gusev; V. Gerdt; M. Kaschiev; V. Rostovtsev; V. Samoylov; T. Tupikova; Y. Uwano; S. Vinitsky

Book ID
111468407
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
199 KB
Volume
4
Category
Article
ISSN
1547-4771

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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.