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Teoreticheskaya i Matematicheskaya Fizika, 1973, Volume 16, Number 2, Pages 235–246
(Mi tmf3755)
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This article is cited in 22 scientific papers (total in 22 papers)
On the discrete spectrum of the Hamiltonian of an $n$-particle quantum system
M. A. Antonets, G. M. Zhislin, I. A. Shereshevskii
Abstract:
Sufficient conditions are obtained for the discrete spectrum of the energy operator of an $n$-particle
system to be finite in the space of functions of given permutational and rotational
symmetry. It is shown that under the same conditions the boundary of the continuous speetrum
cannot be an eigenvalue of infinite multiplicity. For application of the basic theorem,
the etgenvatues of the Schrödinger operator are investigated as functions of the coupling
constant.
Received: 16.06.1972
Citation:
M. A. Antonets, G. M. Zhislin, I. A. Shereshevskii, “On the discrete spectrum of the Hamiltonian of an $n$-particle quantum system”, TMF, 16:2 (1973), 235–246; Theoret. and Math. Phys., 16:2 (1973), 800–809
Linking options:
https://www.mathnet.ru/eng/tmf3755 https://www.mathnet.ru/eng/tmf/v16/i2/p235
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Abstract page: | 329 | Full-text PDF : | 122 | References: | 36 | First page: | 1 |
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