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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| Format: | Article |
| Language: | English |
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CTU Central Library
2010-01-01
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| Series: | Acta Polytechnica |
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| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/1257 |
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doaj-be909ef406284bcbbb725783b6d6ab922020-11-24T23:41:26ZengCTU Central LibraryActa Polytechnica1210-27091805-23632010-01-015051257Two-particle Harmonic Oscillator in a One-dimensional BoxP. AmoreF. M. FernándezWe 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.https://ojs.cvut.cz/ojs/index.php/ap/article/view/1257harmonic oscillatordiatomic moleculeconfined systemone-dimensional boxpoint symmetryavoided |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P. Amore F. M. Fernández |
| spellingShingle |
P. Amore F. M. Fernández Two-particle Harmonic Oscillator in a One-dimensional Box Acta Polytechnica harmonic oscillator diatomic molecule confined system one-dimensional box point symmetry avoided |
| author_facet |
P. Amore F. M. Fernández |
| author_sort |
P. Amore |
| title |
Two-particle Harmonic Oscillator in a One-dimensional Box |
| title_short |
Two-particle Harmonic Oscillator in a One-dimensional Box |
| title_full |
Two-particle Harmonic Oscillator in a One-dimensional Box |
| title_fullStr |
Two-particle Harmonic Oscillator in a One-dimensional Box |
| title_full_unstemmed |
Two-particle Harmonic Oscillator in a One-dimensional Box |
| title_sort |
two-particle harmonic oscillator in a one-dimensional box |
| publisher |
CTU Central Library |
| series |
Acta Polytechnica |
| issn |
1210-2709 1805-2363 |
| publishDate |
2010-01-01 |
| description |
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. |
| topic |
harmonic oscillator diatomic molecule confined system one-dimensional box point symmetry avoided |
| url |
https://ojs.cvut.cz/ojs/index.php/ap/article/view/1257 |
| work_keys_str_mv |
AT pamore twoparticleharmonicoscillatorinaonedimensionalbox AT fmfernandez twoparticleharmonicoscillatorinaonedimensionalbox |
| _version_ |
1725507329971978240 |