On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
The non-crossing rule for the energy levels of a parameter-dependent Hamiltonian is revisited and a flaw in a commonly accepted proof is revealed. Some aspects of avoided crossings are illustrated by means of simple models. One of them shows the close relationship between avoided crossings and excep...
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2014
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/97408 https://ri.conicet.gov.ar/11336/5147 http://arxiv.org/abs/1405.6414 http://link.springer.com/article/10.1007%2Fs10910-014-0386-1 |
| Aporte de: |
| Sumario: | The non-crossing rule for the energy levels of a parameter-dependent Hamiltonian is revisited and a flaw in a commonly accepted proof is revealed. Some aspects of avoided crossings are illustrated by means of simple models. One of them shows the close relationship between avoided crossings and exceptional points. |
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