Two-particle Harmonic Oscillator in a One-dimensional Box

被引：0

作者：

Amore, P. ^{[1
]}

Fernandez, F. M. ^{[2
]}

机构：

[1] Univ Colima, Fac Ciencias, CUICBAS, Bernal Diaz del Castillo 340, Colima, Colima, Mexico

[2] UNLP, Div Quim Teor, INIFTA, Conicet, RA-1900 La Plata, Buenos Aires, Argentina

来源：

ACTA POLYTECHNICA | 2010年 / 50卷 / 05期

关键词：

harmonic oscillator; diatomic molecule; confined system; one-dimensional box; point symmetry; avoided crossings; perturbation theory; variational method;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study a harmonic molecule confined to a one-dimensional box with impenetrable walls. We explicitly consider the symmetry of the problem for the cases of different and equal masses. We propose suitable variational functions and compare the approximate energies given by the variation method and perturbation theory with accurate numerical ones for a wide range of values of the box length. We analyze the limits of small and large box size.

引用

页码：17 / 24

页数：8

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