TL;DR
This paper explores how PT-symmetry and related concepts can explain the real spectra of certain non-Hermitian Hamiltonians and guide the construction of deformed integrable models like Calogero-Moser-Sutherland and KdV.
Contribution
It introduces a PT-symmetry based approach to understand non-Hermitian Hamiltonians and constructs new deformations of integrable systems using this principle.
Findings
PT-symmetry explains the reality of spectra in some non-Hermitian Hamiltonians
Deformed integrable models retain key properties under PT-symmetry guidance
New properties of the deformed models are discussed
Abstract
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry which explain the reality of the spectrum of some non-Hermitian Hamiltonians. Subsequently we employ PT-symmetry as a guiding principle to construct deformations of some integrable systems, the Calogero-Moser-Sutherland model and the Korteweg deVries equation. Some properties of these models are discussed.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Nonlinear Waves and Solitons · Quantum chaos and dynamical systems