The 1-dimensional confined harmonic oscillator revisited
Abstract We study the size effect on the energy levels of the 1-dimensional harmonic oscillator confined within a box of with impenetrable walls and large L. We use the particle in a box basis set to diagonalize the Hamiltonian of the confined harmonic oscillator. In this way we obtain the energy eigenvalues and eigenfunctions as a functions of L. We compare our numerical results with those reported in literature finding good agreement with the exact ones.
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Sociedad Mexicana de Física
2017
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2017000600580 |
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oai:scielo:S0035-001X20170006005802019-02-15The 1-dimensional confined harmonic oscillator revisitedAquino,N.Cruz,E. Confined harmonic oscillator energy eigenvalues linear variational method 03.65Ge 02.60.-x Abstract We study the size effect on the energy levels of the 1-dimensional harmonic oscillator confined within a box of with impenetrable walls and large L. We use the particle in a box basis set to diagonalize the Hamiltonian of the confined harmonic oscillator. In this way we obtain the energy eigenvalues and eigenfunctions as a functions of L. We compare our numerical results with those reported in literature finding good agreement with the exact ones.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.63 n.6 20172017-12-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2017000600580en |
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México |
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English |
| format |
Digital |
| author |
Aquino,N. Cruz,E. |
| spellingShingle |
Aquino,N. Cruz,E. The 1-dimensional confined harmonic oscillator revisited |
| author_facet |
Aquino,N. Cruz,E. |
| author_sort |
Aquino,N. |
| title |
The 1-dimensional confined harmonic oscillator revisited |
| title_short |
The 1-dimensional confined harmonic oscillator revisited |
| title_full |
The 1-dimensional confined harmonic oscillator revisited |
| title_fullStr |
The 1-dimensional confined harmonic oscillator revisited |
| title_full_unstemmed |
The 1-dimensional confined harmonic oscillator revisited |
| title_sort |
1-dimensional confined harmonic oscillator revisited |
| description |
Abstract We study the size effect on the energy levels of the 1-dimensional harmonic oscillator confined within a box of with impenetrable walls and large L. We use the particle in a box basis set to diagonalize the Hamiltonian of the confined harmonic oscillator. In this way we obtain the energy eigenvalues and eigenfunctions as a functions of L. We compare our numerical results with those reported in literature finding good agreement with the exact ones. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2017 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2017000600580 |
| work_keys_str_mv |
AT aquinon the1dimensionalconfinedharmonicoscillatorrevisited AT cruze the1dimensionalconfinedharmonicoscillatorrevisited AT aquinon 1dimensionalconfinedharmonicoscillatorrevisited AT cruze 1dimensionalconfinedharmonicoscillatorrevisited |
| _version_ |
1756220012543082497 |