An ensemble of non-Hermitian Gaussian-random \(2\times 2\) matrices admitting the Wigner surmise

DOI10.1016/S0375-9601(03)00053-7zbMath1008.82003OpenAlexW2081908031MaRDI QIDQ1858114

Zafar Ahmed

Publication date: 11 February 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00053-7

zbMATH Keywords

level repulsionlevel-spacing distributiontime-reversal invariance braking

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Random matrices (algebraic aspects) (15B52)

Related Items (2)

A PSEUDO-UNITARY ENSEMBLE OF RANDOM MATRICES, PT-SYMMETRY AND THE RIEMANN HYPOTHESIS ⋮ P-, T-, PT-, and CPT-invariance of Hermitian Hamiltonians

Cites Work

• Unnamed Item
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Negative metric and the unitarity of the S-matrix
• Quantum Mechanical Systems with Indefinite Metric. I
• Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
• Scalar Invariants of a Rotational System in a Lie Algebra
• Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians

This page was built for publication: An ensemble of non-Hermitian Gaussian-random \(2\times 2\) matrices admitting the Wigner surmise