Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with Oh symmetry. It is shown that group theory predicts the degeneracy of the energy levels and facilitates the application of perturbation theory and the Rayleigh-Ritz var...
Guardado en:
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2015
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/99429 https://ri.conicet.gov.ar/11336/48728 https://arxiv.org/abs/1501.00975 |
| Aporte de: |
| Sumario: | This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with Oh symmetry. It is shown that group theory predicts the degeneracy of the energy levels and facilitates the application of perturbation theory and the Rayleigh-Ritz variational method as well as the interpretation of the results in terms of the symmetry of the solutions. We show how to obtain suitable symmetry-adapted basis sets. |
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