Waxman's Algorithm for non-Hermitian Hamiltonian Operators

TL;DR

This paper extends Waxman's Green's function algorithm, originally for Hermitian Hamiltonians, to efficiently find bound states of non-Hermitian Hamiltonian operators, broadening its applicability.

Contribution

The paper introduces a novel extension of Waxman's algorithm to non-Hermitian Hamiltonians, enabling the calculation of bound states in a wider class of quantum systems.

Findings

Successfully extended the algorithm to non-Hermitian operators

Demonstrated accurate eigenvalue and eigenfunction computation

Applicable to complex quantum systems with non-Hermitian Hamiltonians

Abstract

An algorithm for finding the bound-state eigenvalues and eigenfunctions of a Hermitian Hamiltonian operator using Green's method, developed by Waxman\cite{W98},has been extended to include non-Hermitian Hamiltonian operators.