UPPER AND LOWER BOUNDS FOR RAYLEIGH-SCHRODINGER PERTURBATION ENERGIES,
Abstract
Variational principles for upper and lower bounds to all even order Rayleigh-Schrodinger perturbation energies are given. The upper bound for the second order energy is just the Hylleraas principle and the upper bounds for energies through 12th order are the same as those used by Knight and Scherr. The general upper bound principle for the (2n)th order energy is equivalent to the variational principle obtained by Sinanoglu for the n-th order wave function, but our principle gives the exact (2n)th order energy when the trial wave function is exact. The lower bounds for the even order energies are generalizations of the lower bound obtained by Prager and Hirschfelder for the second order. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 26, 1964
- Accession Number
- AD0600114
Entities
People
- J. O. Hirschfelder
- Kenneth M. Sando
Organizations
- University of Wisconsin–Madison