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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 55, Number 2, Pages 269–281
(Mi tmf2167)
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This article is cited in 6 scientific papers (total in 6 papers)
On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems
S. A. Vugal'ter, G. M. Zhislin
Abstract:
For the energy operator of a system of three one-dimensional or two-dimeasional
quantum particles conditions are found under which the discrete spectrum is finite
in spaces of functions of given symmetry. It follows from the obtained results in
particular that the Efimov effect is absent for the considered systems.
Received: 19.04.1982
Citation:
S. A. Vugal'ter, G. M. Zhislin, “On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems”, TMF, 55:2 (1983), 269–281; Theoret. and Math. Phys., 55:2 (1983), 493–502
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https://www.mathnet.ru/eng/tmf2167 https://www.mathnet.ru/eng/tmf/v55/i2/p269
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Abstract page: | 236 | Full-text PDF : | 91 | References: | 54 | First page: | 1 |
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