A transformation of the Schrddinger equation IS demonstrated, using a factorized wavcfunction, to produce an equation whtcft IS equi~l~nt to mflnite-order perturbation theory. The fonn&sm is used to Folve wrne perturbation problems, including the quatic perturbatmn of the ~phericrtl harmonic oscdlat
Infinite-Order Perturbation Theory for Finite Systems
β Scribed by Coulter, C. Alton
- Book ID
- 126792939
- Publisher
- The American Physical Society
- Year
- 1967
- Tongue
- English
- Weight
- 439 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0031-899X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Reasons for understanding the general problem of perturbation theory in large order are discussed. It is shown that the behavior of perturbation theory in larger order is generally very simple because it reflects just the semiclassical content of the theory. Many simple examples are giv
Data in the literature from NMR chemical shielding calculations at Hartree-Fock, MP2, MP3, and MP4 levels using large basis sets suggest that the ratio of the various perturbation order contributions may be approximately constant with a value of -0.5. Under this assumption one may sum the infinite
## Abstract Quantum mechanical perturbation theory of infinite order is applied to an infinitely long biological polymeric chain. The resulting ensembleβaveraged density of electronic states is approximately calculated by truncation according to a method introduced by S. Y. Wu [(1974) __J. Math. Ph