This article is cited in 3 papers

Quantum-mechanical Goryachev–Chaplygin top in a strong field

I. V. Komarov


Abstract: It is shown that in a strong field the Goryachev–Chaplygin top behaves like a twodimensional harmonic oscillator with frequency ratio 1:2. Moreover, the second integral of the motion of the top goes over into the separation constant for the 2-oscillator in parabolic coordinates in the momentum space. The diagram correlating the energy levels of the top in the limits of weak and strong fields is found.

Received: 12.01.1982

 English version: Theoretical and Mathematical Physics, 1982, 53:2, 1136–1141

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