CNL
CNL
Computational Problems  
Computational Nanotechnology Lab at Michigan State University

Hydrogen Atom Problem

To prove your programming skills, write a program in FORTRAN77 that calculates the lowest eigenvalue of an isolated hydrogen atom in the Local Density Approximation (LDA). Use the popular Ceperley-Alder exchange-correlation functional in the Perdew-Zunger parametrization. Note that what counts in this exercise are YOUR program and results in LDA, which may well differ from the exact result. Writing such a code requires basic understanding of quantum mechanics, symmetry, programming skills, and basic familiarity with the treatment of electron-electron interactions in Density Functional Theory.

Applicants for a graduate research associate position at the CNL should submit

  • the FORTRAN77 source code
  • the lowest eigenvalue energy in eV
  • the total energy of the atom in eV
  • a PowerPoint/pdf file containing a detailed discussion of the computational approach used and the results.
Writing a corresponding program from scratch should take no more than 2-3 days and is a good exercise. Submit your solution of this problem to tomanek@nanoten.com in order to be considered for the advertised position.