On pseudo-Hermitian operators with generalized $\mathcal{C}$-symmetries

TL;DR

This paper explores the extension of $ ext{C}$-symmetries for pseudo-Hermitian Hamiltonians within Krein space, proposing a generalized framework that broadens the understanding of symmetries in non-Hermitian quantum systems.

Contribution

It introduces a generalized concept of $ ext{C}$-symmetries for pseudo-Hermitian operators in Krein spaces, expanding the theoretical foundation of non-Hermitian quantum mechanics.

Findings

Generalization of $ ext{C}$-symmetries proposed

Framework applicable to broader class of pseudo-Hermitian operators

Enhances understanding of symmetry structures in Krein spaces

Abstract

The concept of $\mathcal{C}$-symmetries for pseudo-Hermitian Hamiltonians is studied in the Krein space framework. A generalization of $\mathcal{C}$-symmetries is suggested.