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Infinite-Order Perturbation Theory for Finite Systems

✍ 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

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πŸ“œ SIMILAR VOLUMES


Infinite order perturbation theory
✍ G.G. Hall πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 244 KB

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

Perturbation theory in large order for s
✍ Carl M. Bender πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 545 KB

## 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

An approximate infinite order perturbati
✍ D.B. Chesnut πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 373 KB

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

The application of infinite-order pertur
✍ Harvey Groskreutz; Shi-Yu Wu; Manuel Schwartz πŸ“‚ Article πŸ“… 1977 πŸ› Wiley (John Wiley & Sons) 🌐 English βš– 460 KB πŸ‘ 1 views

## Abstract Quantum mechanical perturbation theory of infinite order is applied to an infinitely long biological polymeric chain. The resulting ensemble‐averaged density of electronic states is approximately calculated by truncation according to a method introduced by S. Y. Wu [(1974) __J. Math. Ph