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...
Guardado en:
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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: |
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I19-R120-10915-97408 |
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| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Física Avoided crossing Non-crossing rule Parameter-dependent operators Exceptional points |
| spellingShingle |
Física Avoided crossing Non-crossing rule Parameter-dependent operators Exceptional points Fernández, Francisco Marcelo On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian |
| topic_facet |
Física Avoided crossing Non-crossing rule Parameter-dependent operators Exceptional points |
| description |
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. |
| format |
Articulo Preprint |
| author |
Fernández, Francisco Marcelo |
| author_facet |
Fernández, Francisco Marcelo |
| author_sort |
Fernández, Francisco Marcelo |
| title |
On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian |
| title_short |
On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian |
| title_full |
On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian |
| title_fullStr |
On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian |
| title_full_unstemmed |
On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian |
| title_sort |
on the crossing of the energy levels of a parameter-dependent quantum-mechanical hamiltonian |
| publishDate |
2014 |
| url |
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 |
| work_keys_str_mv |
AT fernandezfranciscomarcelo onthecrossingoftheenergylevelsofaparameterdependentquantummechanicalhamiltonian |
| bdutipo_str |
Repositorios |
| _version_ |
1764820492704808960 |