Published November 2009 | Version v1
Journal article

Rayleigh-Ritz variation method and connected-moments expansions

  • 1. Facultad de Ciencias, Universidad de Colima, Bernal DIaz del Castillo 340, Colima (Mexico)
  • 2. INIFTA (UNLP, CCT La Plata-CONICET), Division Quimica Teorica, Blvd 113 S/N, Sucursal 4, Casilla de Correo 16, 1900 La Plata (Argentina)

Description

We compare the connected-moments expansion (CMX) with the Rayleigh-Ritz variational method in the Krylov space (RRK). As a benchmark model we choose the same two-dimensional anharmonic oscillator already treated earlier by means of the CMX. Our results show that the RRK converges more smoothly than the CMX. We also discuss the fact that the CMX is size consistent while the RRK is not.

Availability note (English)

Available from http://dx.doi.org/10.1088/0031-8949/80/05/055002

Additional details

Publishing Information

Journal Title
Physica Scripta (Online)
Journal Volume
80
Journal Issue
5
Journal Page Range
[5 p.]
ISSN
1402-4896

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41050758
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ANHARMONIC OSCILLATORS; BENCHMARKS; COMPARATIVE EVALUATIONS; MATHEMATICAL SPACE; RITZ METHOD; TWO-DIMENSIONAL CALCULATIONS; VARIATIONAL METHODS
Descriptors DEC
CALCULATION METHODS; EVALUATION; SPACE