Non-Hermitian Hamiltonians with a Real Spectrum and Their Physical Applications
Ali Mostafazadeh
TL;DR
This paper reviews the role of pseudo-Hermitian and PT-symmetric Hamiltonians in modeling quantum systems with real spectra and explores their physical applications, highlighting recent developments and phenomena.
Contribution
It provides a comprehensive evaluation of recent approaches to non-Hermitian Hamiltonians with real spectra and discusses their physical implications.
Findings
Pseudo-Hermitian and PT-symmetric Hamiltonians can have real spectra.
Complex scattering potentials reveal novel physical phenomena.
These Hamiltonians are applicable in modeling unitary quantum systems.
Abstract
We present an evaluation of some recent attempts at understanding the role of pseudo-Hermitian and PT-symmetric Hamiltonians in modeling unitary quantum systems and elaborate on a particular physical phenomenon whose discovery originated in the study of complex scattering potentials.
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