Finding of the Metric Operator for a Quasi-Hermitian Model

Ergun, Ebru

doi:10.1155/2013/716109

Finding of the Metric Operator for a Quasi-Hermitian Model

Atıf İçin Kopyala

Ergun E.

JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013 (SCI İndekslerine Giren Dergi)

Cilt numarası:
Basım Tarihi: 2013
Doi Numarası: 10.1155/2013/716109
Dergi Adı: JOURNAL OF FUNCTION SPACES AND APPLICATIONS

Özet

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