Published 1990 | Version v1
Journal article

Eigenvalues from recurrence relations

  • 1. Instituto de Investigaciones Fisicoquimicas Teoricas y Aplicadas, La plata (Argentina). Division Quimica Teorica

Description

A recently developed Zero Coefficient Method (ZCM) for calculating eigenvalues is applied to potentials of the form V(x) = v2x2 + v3x3 + v4x4. The cases of symmetric two-well (v3=0) and of asymmetric (v3≠0) oscillators are considered. The results are compared with those obtained by means of the Rayleigh-Ritz method and the modified operator method. No difference is observed in the accuracy of these methods and therefore ZCM is found to be most useful in obtaining the spectra of anharmonic oscillator models involving polynomial potentials. 2 tabs., 4 refs

Additional details

Publishing Information

Journal Title
Bulgarian Journal of Physics
Journal Volume
17
Journal Issue
2
Series
Bulg. J. Phys.
Journal Page Range
81-83
ISSN
0323-9217
CODEN
BJPHD

INIS

Country of Publication
Bulgaria
Country of Input or Organization
Bulgaria
INIS RN
22078067
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Numerical Data
Descriptors DEI
ACCURACY; ANHARMONIC OSCILLATORS; COMPARATIVE EVALUATIONS; EIGENFUNCTIONS; EIGENVALUES; HERMITIAN OPERATORS; RECURSION RELATIONS; RITZ METHOD; SECULAR EQUATION; THEORETICAL DATA
Descriptors DEC
DATA; EQUATIONS; EVALUATION; FUNCTIONS; INFORMATION; MATHEMATICAL OPERATORS; NUMERICAL DATA