Symmetries and invariants for non-Hermitian Hamiltonians

DOI10.3390/math6070111zbMath1524.81051arXiv1805.04968OpenAlexW2800955459WikidataQ114028051 ScholiaQ114028051MaRDI QIDQ6104293

Miguel Ángel Simón, Álvaro Buendía, J. G. Muga

Publication date: 15 June 2023

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04968

zbMATH Keywords

symmetrynon-Hermitian Hamiltonianstime-reversal

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (4)

Symmetries of (${N \times N}$ ) non-Hermitian Hamiltonian matrices ⋮ Exceptional points and domains of unitarity for a class of strongly non-Hermitian real-matrix Hamiltonians ⋮ Quantifying algebraic asymmetry of Hamiltonian systems ⋮ Balancing gain and loss in symmetrised multi-well potentials

Cites Work

• Unnamed Item
• Reciprocity in quantum, electromagnetic and other wave scattering
• Unified theory of nuclear reactions
• A course on finite groups.
• Perfectly invisible \( \mathcal{P}\mathcal{T} \)-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry
• Stationary modes and integrals of motion in nonlinear lattices with a ${\mathcal {PT}}$-symmetric linear part
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• GENERALIZED CONTINUITY EQUATION AND MODIFIED NORMALIZATION IN PT-SYMMETRIC QUANTUM MECHANICS
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Exact Quantization Conditions. II

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