Exact solution of the Goryachev-Chaplygin problem in quantum mechanics

@inproceedings{Komarov1982ExactSO,
  title={Exact solution of the Goryachev-Chaplygin problem in quantum mechanics},
  author={Iu. V. Komarov},
  year={1982}
}
The quantum mechanical analogue of the classical integrable system, originally founded by Goryachev and Chaplygin (1900), is considered in detail. The problem is formulated in terms of the Euclid E(3) group. The Euler-Poisson equations of motion and their integrals are derived. The determination of the spectra of the integrals of motion is equivalent to construction of the special basis of representation of E(3). The eigenvalue problem admits separation in new variables, which are closely… CONTINUE READING