Pseudospectral methods for atoms in strong magnetic fields

Abstract

We present a new pseudospectral algorithm for the calculation of the structure of atoms in strong magnetic fields. We have verified this technique for one, two and three-electron atoms in zero magnetic fields against laboratory results and find typically better than one-percent accuracy. We further verify this technique against the state-of-the-art calculations of hydrogen, helium and lithium in strong magnetic fields (up to about $2\times 10^6$ T) and find a similar level of agreement. The key enabling advantages of the algorithm are its simplicity (about 130 lines of commented code) and its speed (about $10^2-10^5$ times faster than finite-element methods to achieve similar accuracy).

10 pages, version accepted to MNRAS

References in corpus (2)

• Hydrogen and Helium atoms in strong magnetic fields
• Compositional Freeze-Out of Neutron Star Crusts

Cited by in corpus (4)

• PAMELA: An Open-Source Software Package for Calculating Nonlocal Exact Exchange Effects on Electron Gases in Core-Shell Nanowires
• Pseudospectral Calculation of Helium Wave Functions, Expectation Values, and Oscillator Strength
• The carbon atom in intense magnetic fields
• A two-dimensional pseudospectral Hartree-Fock method for low-Z atoms in intense magnetic fields