Non-standard quantum algebras and finite dimensional $\mathcal{P}\mathcal{T}$-symmetric systems

Ángel Ballesteros, Romina Ramírez, Marta Reboiro

In this work, $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians defined on quantum $sl(2,\mathbb{R})$ algebras are presented. We study the spectrum of a family of non-Hermitian Hamiltonians wr…