Structure Calculations Without Effective Interactions

TL;DR

This paper demonstrates how to obtain approximate eigenstates of Hamiltonians with point and continuous spectra using the Lanczos algorithm, highlighting issues with spurious solutions from iteration with the bare operator.

Contribution

It introduces a method for structure calculations that avoids effective interactions and identifies spurious solutions in the Lanczos algorithm.

Findings

Successful calculation of ground state rms radius using the bare Hamiltonian.

Identification of spurious solutions in iterative eigenstate calculations.

Validation of the Lanczos algorithm for complex spectra.

Abstract

Good approximate eigenstates of a Hamiltionian operator which poesses a point as well as a continuous spectrum have beeen obtained using the Lanczos algorithm. Iterating with the bare Hamiltonian operator yields spurious solutions which can easily be identified. The rms radius of the ground state eigenvector, for example, is calculated using the bare operator.