CNL
CNL
Computational Problems  
Computational Nanotechnology Lab at Michigan State University

Atomic Physics Problem

Write a program in FORTRAN77 that calculates the lowest eigenvalue and eigenfunction of an isolated C5+ ion (carbon atom with only one electron) 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 results. Writing such a code requires basic understanding of quantum mechanics, symmetry, programming skills, and familiarity with standard Density Functional approaches.

Applicants for a post-doctoral position at the CNL should submit

  • the FORTRAN77 source code
  • the lowest eigenvalue energy in eV
  • the plot of the the lowest eigenfunction
  • 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@pa.msu.edu in order to be considered for the advertised position.