On Classification and Geometric Characterizations of Ensembled $2\times 2$ Pseudo Hermitian and PT-Symmetric Matrices

Stalin Abraham, Ameeya A. Bhagwat

Non-Hermitian matrices $H\in M_2(\mathbb{C})$ satisfying the relation $H^{†}G=GH$, for invertible and singular Hermitian matrices $G$ have been studied. The matrices $H$ correspo…