A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework

TL;DR

This paper introduces a generalized Swanson Hamiltonian framework using second-derivative pseudo-supersymmetry, exploring its mathematical structure and potential applications to specific quantum systems like the isotonic oscillator.

Contribution

It presents a novel second-derivative pseudo-supersymmetric approach to the Swanson Hamiltonian, expanding its theoretical foundation and application scope.

Findings

Developed a generalized pseudo-supersymmetric scheme for Swanson Hamiltonian

Analyzed the quasi-Hamiltonian choices for specific quantum systems

Explored applications to isotonic oscillator and CPRS potential

Abstract

We study a generalized scheme of Swanson Hamiltonian from a second-derivative pseudosupersymmetric approach. We discuss plausible choices of the underlying quasi-Hamiltonian and consider the viability of applications to systems like the isotonic oscillator and CPRS potential.