Artículo
Fendrik, A.J.; Sánchez, M.J. "Semiclassical density of degeneracies in quantum regular systems" (2000) Journal of Physics A: Mathematical and General. 33(12):2345-2363
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Abstract:
The spectrum of eigenenergies of a quantum integrable system whose Hamiltonian depends on a single parameter shows degeneracies (crossings) when the parameter varies. We derive a semiclassical expression for the density of crossings in the plane energy-parameter, that is the number of crossings per unit of energy and unit of parameter, in terms of classical periodic orbits. We compare the results of the semiclassical formula with exact quantum calculations for two specific quantum integrable billiards.
Registro:
| Documento: | Artículo |
| Título: | Semiclassical density of degeneracies in quantum regular systems |
| Autor: | Fendrik, A.J.; Sánchez, M.J. |
| Filiación: | Depto. de Fís. J J Giambiagi, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Año: | 2000 |
| Volumen: | 33 |
| Número: | 12 |
| Página de inicio: | 2345 |
| Página de fin: | 2363 |
| DOI: | http://dx.doi.org/10.1088/0305-4470/33/12/303 |
| Título revista: | Journal of Physics A: Mathematical and General |
| Título revista abreviado: | J. Phys. Math. Gen. |
| ISSN: | 03054470 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v33_n12_p2345_Fendrik |
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Citas:
---------- APA ----------
Fendrik, A.J. & Sánchez, M.J. (2000) . Semiclassical density of degeneracies in quantum regular systems. Journal of Physics A: Mathematical and General, 33(12), 2345-2363.http://dx.doi.org/10.1088/0305-4470/33/12/303
---------- CHICAGO ----------
Fendrik, A.J., Sánchez, M.J. "Semiclassical density of degeneracies in quantum regular systems" . Journal of Physics A: Mathematical and General 33, no. 12 (2000) : 2345-2363.http://dx.doi.org/10.1088/0305-4470/33/12/303
---------- MLA ----------
Fendrik, A.J., Sánchez, M.J. "Semiclassical density of degeneracies in quantum regular systems" . Journal of Physics A: Mathematical and General, vol. 33, no. 12, 2000, pp. 2345-2363.http://dx.doi.org/10.1088/0305-4470/33/12/303
---------- VANCOUVER ----------
Fendrik, A.J., Sánchez, M.J. Semiclassical density of degeneracies in quantum regular systems. J. Phys. Math. Gen. 2000;33(12):2345-2363.http://dx.doi.org/10.1088/0305-4470/33/12/303
