Spectra of PT-symmetric Hamiltonians on Tobogganic Contours

TL;DR

This paper explores the spectral properties of PT-symmetric Hamiltonians with a novel generalization of Bender potentials on tobogganic contours, providing numerical results and discussing unique spectral features.

Contribution

It introduces a non-standard generalization of Bender potentials on tobogganic contours and analyzes their spectra numerically, highlighting new spectral characteristics.

Findings

Spectra are obtained numerically for the generalized potentials.

Unique spectral properties are discussed.

The approach extends understanding of PT-symmetric Hamiltonians.

Abstract

A non-standard generalisation of the Bender potentials $x^2(\ii x^\ve)$ is suggested. The spectra are obtained numerically and some of their particular properties are discussed.