Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Cherbal, O., Drir, M., Maamache, M., Trifonov, D.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146526
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States / O. Cherbal, M. Drir, M. Maamache, D.A. Trifonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 33 назв. — англ.

A new class of non-Hermitian Hamiltonians with real spectrum, which are written as a real linear combination of su(2) generators in the form H=ωJ₃+αJ₋+βJ₊, α≠β, is analyzed. The metrics which allows the transition to the equivalent Hermitian Hamiltonian is established. A pseudo-Hermitian supersymmet...