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

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=ωJ_3+αJ_−+βJ_+, α≠β, is analyzed. The metrics which allows the transition to the equivalent Hermitian Hamiltonian is established. A pseudo-Hermitian supersym...

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Bibliographic Details
Main Authors: Omar Cherbal, Mahrez Drir, Mustapha Maamache, Dimitar A. Trifonov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.096