# The size-extensivity of correlation energy estimators based on effective characteristic polynomials

@article{Homeier1997TheSO, title={The size-extensivity of correlation energy estimators based on effective characteristic polynomials}, author={Herbert H. H. Homeier}, journal={Journal of Molecular Structure-theochem}, year={1997}, volume={419}, pages={29-31} }

## 5 Citations

Performance of the Effective-characteristic-polynomial Pi2 Method for Diatomic Molecules: Basis-set Dependencies and Vibrational Levels

- Chemistry
- 2000

The performance of the recently introduced $\Pi$2 method [1] is investigated for some diatomic molecules. For this end, ground state energies are calculated at the MP4 level for various basis sets of…

Power series expansion of the roots of a secular equation containing symbolic elements: Computer algebra and Moseley’s law

- Mathematics
- 2001

We use computer algebra to expand the Pekeris secular determinant for two-electron atoms symbolically, to produce an explicit polynomial in the energy parameter e, with coefficients that are…

Programs for the approximation of real and imaginary single- and multi-valued functions by means of Hermite-Padé-approximants

- Computer Science
- 2003

D ec 2 00 2 On the extrapolation of perturbation series ∗

- Mathematics
- 2002

We discuss certain special cases of algebraic approximants that are given as zeroes of so-called effective characteristic polynomials and their generalization to a multiseries setting. These…

On the Extrapolation of Perturbation Series

- Mathematics
- 2000

We discuss certain special cases of algebraic approximants that are given as zeroes of so-called effective characteristic polynomials and their generalization to a multiseries setting. These…

## References

SHOWING 1-10 OF 20 REFERENCES

Construction of interpolant polynomials for approximating eigenvalues of a hamiltonian which is dependent on a coupling parameter

- Mathematics, Physics
- 1994

Interpolant polynomial technique applied to the PPP model. II. Testing the interpolant technique on the Hubbard model

- Physics
- 1996

rn One is often led, in quantum mechanics, to a perturbative solution of an eigenvalue problem, which is defined by a given Hamiltonian. The perturbative series for the energy which results will be a…

Perturbation expansion of the ground‐state energy for the one‐dimensional cyclic Hubbard system in the Hückel limit

- Physics
- 1995

The perturbation expansion coefficients for the ground-state energy of the half-filled one-dimensional Hubbard model with N = 4{sub {nu}} + 2, ({nu} = 1,2,...) sites and satisfying cyclic boundary…

Investigation of the 1E 2g− states in cyclic polyenes

- Physics
- 1995

An analysis withing the one-dimensional Hubbard model of the {sup 1}E{sub 2g}{sup {minus}} type state in cyclic polyenes is reported. In terms of the resonance integral {beta}, a small {beta}…

Effective characteristic polynomials and two-point Padé approximants as summation techniques for the strongly divergent perturbation expansions of the ground state energies of anharmonic oscillators.

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1996

It is shown that these summation methods give good results for the quartic and sextic anharmonic oscillators, and, even in the case of the octic an Harmonic oscillator, which represents an extremely challenging summation problem, two-point Pad\'e approximants give relatively good results.

"J."

- Philosophy
- 1890

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…

Characterization of Stormwater Runoff from Highways

- Engineering
- 1994

This chapter provides an overview of ongoing research towards improving the understanding of water quality characteristics of highway stormwater runoff. A rev…

Struct

- (THEOCHEM) 366, 161
- 1996