Stalin Abraham

collaborators

3 papers

math-ph2025

PT-Symmetric $S U (2)$ -like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations

Stalin Abraham, A. Bhagwat, Sudhir Ranjan Jain

We consider an ensemble of $2 \times 2$ normal matrices with complex entries representing operators in the quantum mechanics of 2 - level parity-time reversal (PT) symmetric systems…

math-ph2024

PT-Symmetry in $2 \times 2$ Matrix Polynomials Formed by Pauli Matrices

Stalin Abraham, Ameeya A. Bhagwat

$2 \times 2$ matrix polynomials of the form $P_{n} (z) = I^£_{j = 0}^{n} I ¨ _{j} z^{j}$ , for the cases $n = 1, 2, 3$ are constructed, and the nature of PT-symmetry is examined across differe…

math-ph2024

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

Stalin Abraham, Ameeya A. Bhagwat

Non-Hermitian matrices $H \in M_{2} (C)$ satisfying the relation $H^{a^} G = G H$ , for invertible and singular Hermitian matrices $G$ have been studied. The matrices $H$ corres…

PT-Symmetric SU(2)-like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations

PT-Symmetry in 2×2 Matrix Polynomials Formed by Pauli Matrices

On Classification and Geometric Characterizations of Ensembled 2×2 Pseudo Hermitian and PT-Symmetric Matrices

PT-Symmetric $S U (2)$ -like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations

PT-Symmetry in $2 \times 2$ Matrix Polynomials Formed by Pauli Matrices

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