Perturbation Theory
1997 Summer Lecture Series

Gregory S. Tschumper

July 22 and 23, 1997

 
• Introduction
  • Some New Notation
  • Mathematical Review
• Rayleigh-Schrödinger Perturbation Theory
  • Basic Concept
  • Energy Corrections
    • 0th Order Energy Correction
    • 1st Order Energy Correction
    • 2nd Order Energy Correction
    • kth Order Energy Correction
  • Corrections to the Wavefunction
    • 1st Order Correction to the Wavefunction
    • 2nd Order Correction to the Wavefunction
    • kth Order Correction to the Wavefunction
• Møller-Plesset Pertubation Theory
  • Formalism
  • Synopsis of MPPT Formalism
  • Energy Corrections
    • 0th Order MP Energy
    • 1st Order MP Energy
    • 2nd Order MP Energy
    • 3rd Order MP Energy
    • 4th Order MP Energy
    • Quick Review of MPPT Energes
• Properties and Performance of MPPT
  • MBPT vs CI
  • Approximate Computational Scaling
  • Performance of MBPT Methods
  • Convergence of the MBPT Series
• References
• About this document ...