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On one method of construction of symmetry operator C
Journal: Matematychni Studii (Vol.37, No. 2)Publication Date: 2012-04-01
Authors : Sudilovskaya V. I.;
Page : 184-192
Keywords : Krein spaces; indefinite metrics; operator C; operator Riccati equation;
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Abstract
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.
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