Finding of the Metric Operator for a Quasi-Hermitian Model. (27th August 2013)

• Record Type: Journal Article
• Authors: Ergun, Ebru
• Other Names: Hencl Stanislav Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-08-27
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/716109
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We consider on an appropriate Sobolev space a non-Hermitian Hamiltonian H α, β depending on the two complex parameters α and β and having real spectrum. We derive a closed formula for a family of the metric operators, which render the Hamiltonian H α, β Hermitian. In some particular cases, we calculate the Hermitian counterpart of H α, β .