On one method of construction of symmetry operator C (in Ukrainian)

The new method of construction of symmetry operator C, which is one of the principal notions of the pseudo-Hermitian quantum mechanics, is proposed. The method is based on solving Riccati operator equations. The theorem on the boundedness/unboundedness of operator C in terms of solutions of the Riccati equation is established. Sufficient conditions for the existence of the operator C are determined.