Two-particle Harmonic Oscillator in a One-dimensional Box

Two-particle Harmonic Oscillator in a One-dimensional Box

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 per...

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Bibliographic Details
Main Authors: P. Amore, F. M. Fernández
Format: Article
Language:English
Published: CTU Central Library 2010-01-01
Series:Acta Polytechnica
Subjects:
harmonic oscillator
diatomic molecule
confined system
one-dimensional box
point symmetry
avoided
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1257
Description
Summary: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.
ISSN:1210-2709
1805-2363

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