# New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics

## TL;DR

This paper investigates unique spectral singularities in quaternionic non-Hermitian quantum mechanics, revealing new phenomena such as spectral singularities arising from lossy point interactions, unlike in standard non-quaternionic cases.

## Contribution

It provides the first analytical study of spectral singularities in quaternionic potentials, highlighting features absent in traditional complex non-Hermitian quantum mechanics.

## Key findings

- Spectral singularities can occur in lossy quaternionic point interactions.
- New types of spectral singularities are identified in quaternionic potentials.
- Distinct differences from complex non-Hermitian cases are demonstrated.

## Abstract

The spectral singularity have been extensively studied over the last one and half decade for different non-Hermitian potentials in non-Hermitian quantum mechanics. The nature of spectral singularities have not been studied for the case of quaternionic potential. In the present work we perform an analytical study for the scattering from a quaternionic point interaction represented by delta function. New features of spectral singularities are observed which are different than the case of complex (non-quaternionic) point interaction. Most notable difference is the occurrence of spectral singularity from lossy point interaction which is forbidden in the case of standard non-Hermitian quantum mechanics.