# Non-Hermitian Hamiltonians with a Real Spectrum and Their Physical Applications

## 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.

## Key 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.