Generalization of the Goryachev–Chaplygin gyrostat in quantum mechanics
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IX, Tome 164 (1987), pp. 134-141
I. V. Komarov; V. B. Kuznetsov. Generalization of the Goryachev–Chaplygin gyrostat in quantum mechanics. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IX, Tome 164 (1987), pp. 134-141. http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a9/
@article{ZNSL_1987_164_a9,
     author = {I. V. Komarov and V. B. Kuznetsov},
     title = {Generalization of the {Goryachev{\textendash}Chaplygin} gyrostat in quantum mechanics},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {134--141},
     year = {1987},
     volume = {164},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a9/}
}
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A generalization of the Goryachev–Chaplygin top is suggested admitting application of the quantum inverse problem method. An auxiliary parameter introduced in the Hamiltonian plays the some role as the spin value in lattice spin models. Bibl. – 5.