Quantum method of projection

The article is devoted to the method of constructing exact solutions of linear differential equations, which is the quantum analog of the method of projection that A. M. Ol'shanetskii and A. P. Perelomov proposed for integration of finite-dimensional Hamiltonian systems. The method developed in the article is demonstrated on a nontrivial example. Omsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 103–108, September, 1996.