On the construction of pseudo-Hermitian Hamiltonians by means of similarity transformations

TL;DR

This paper presents a generalized method for constructing pseudo-Hermitian Hamiltonians with real spectra using similarity transformations of coordinate and momentum, enhancing the theoretical framework in quantum mechanics.

Contribution

It introduces a new, straightforward approach to generate pseudo-Hermitian Hamiltonians via similarity transformations, expanding existing methods.

Findings

Successfully generalizes previous approaches.

Provides a simple technique for Hamiltonian construction.

Ensures real spectra for the generated Hamiltonians.

Abstract

We generalize a recently proposed approach for the construction of pseudo-Hermitian Hamiltonians with real spectra. Present technique is based on a simple and straightforward similarity transformation of the coordinate and momentum.