ON THE RELATION BETWEEN THE CONNECTED-MOMENTS EXPANSION AND THE LANCZOS VARIATIONAL SCHEME

Authors
PRIE JD SCHWALL D MANCINI JD KRAUS D MASSANO WJ
Citation
Jd. Prie et al., ON THE RELATION BETWEEN THE CONNECTED-MOMENTS EXPANSION AND THE LANCZOS VARIATIONAL SCHEME, Nuovo cimento della Societa italiana di fisica. D, Condensed matter,atomic, molecular and chemical physics, biophysics, 16(5), 1994, pp. 433-448
Citations number
16
Categorie Soggetti
Physics
Journal title
Nuovo cimento della Societa italiana di fisica. D, Condensed matter,atomic, molecular and chemical physics, biophysics → ACNP
ISSN journal
03926737
Volume
16
Issue
5
Year of publication
1994
Pages
433 - 448
Database
ISI
SICI code
0392-6737(1994)16:5<433:OTRBTC>2.0.ZU;2-I
Abstract
The recently introduced Connected-Moments Expansion (CMX) is compared to a variational Lanczos scheme for estimating ground-state energies o f many-body systems. A systematic approach is given for three quantum- mechanical systems: harmonic oscillator, anharmonic oscillator and the Kondo model. A second-order analysis is given in terms of particular ratios of moments of the Hamiltonian.