%0 Journal Article
%T On one method of construction of symmetry operator C (in Ukrainian)
%A V. I. Sudilovskaya
%J Matematychni Studii
%D 2012
%I Lviv Mathematical Society, VNTL Publishers
%X 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.
%K Krein spaces
%K indefinite metrics
%K operator C
%K operator Riccati equation
%U http://matstud.org.ua/texts/2012/37_2/184-192.pdf