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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 73, Number 3, Pages 335–347
(Mi tmf5636)
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This article is cited in 16 scientific papers (total in 16 papers)
Semiclassical quantization of Kowalewski top
I. V. Komarov, V. B. Kuznetsov
Abstract:
It is shown that the quantum analogue of the Kovalevskaya top found recently
by Dorizzi et al. is equivalent to that found by Lapporte still in the early thirties.
Leading terms of the asymptotics of the quantum spectrum in weak and strong fields
are derived. The Hamiltonian structure of the Kovalevskaya equations is restored. The
action of the system is obtained by means of separation of variables in the Hamiltonian.
The quasiclassical quantization condition is solved numerically by direct computation
as well as by the adiabatic switching method. The results are presented as functions
of the field strength.
Received: 23.05.1986
Citation:
I. V. Komarov, V. B. Kuznetsov, “Semiclassical quantization of Kowalewski top”, TMF, 73:3 (1987), 335–347; Theoret. and Math. Phys., 73:3 (1987), 1255–1263
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https://www.mathnet.ru/eng/tmf5636 https://www.mathnet.ru/eng/tmf/v73/i3/p335
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Abstract page: | 484 | Full-text PDF : | 210 | References: | 51 | First page: | 1 |
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