Artículo
Castagnino, M.; Domenech, G.; Levinas, M.; Umérez, N. "The doublet representation of non-Hilbert eigenstates of the Hamiltonian. II" (1998) Journal of Mathematical Physics. 39(7):3522-3529
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Abstract:
Applying the doublet representation we analyze the solutions of a Hamiltonian system which has eigenstates with complex eigenvalues. The example of the Friedrichs model allows us to show how the appearance of solutions with non-Hilbert initial conditions is linked to the energy degeneration of the Hamiltonian spectrum. We discuss the difficulties of giving a physical meaning to the growing or decaying non-Hilbert solutions. We also suggest a way to circumvent the problem of the anomalous probabilities related to both complex energy eigenvalues and degeneration of the spectrum. © 1998 American Institute of Physics.
Registro:
| Documento: | Artículo |
| Título: | The doublet representation of non-Hilbert eigenstates of the Hamiltonian. II |
| Autor: | Castagnino, M.; Domenech, G.; Levinas, M.; Umérez, N. |
| Filiación: | Inst. Astronomia y Fis. del Espacio, C.C. 67 Suc. 28, 1428 Bs. As., Argentina Departamento de Física, FCEyN, Univ. Buenos Aires, Pabellon I, C., 1428 Bs. As., Argentina |
| Año: | 1998 |
| Volumen: | 39 |
| Número: | 7 |
| Página de inicio: | 3522 |
| Página de fin: | 3529 |
| DOI: | http://dx.doi.org/10.1063/1.532449 |
| Título revista: | Journal of Mathematical Physics |
| Título revista abreviado: | J. Math. Phys. |
| ISSN: | 00222488 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v39_n7_p3522_Castagnino.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v39_n7_p3522_Castagnino |
Referencias:
- Castagnino, M., Domenech, G., Levinas, M., Umérez, N., (1996) J. Math. Phys., 37, p. 2107
- Parravicini, G., Gorini, V., Sudarsham, E.C.G., (1980) J. Math. Phys., 21, p. 2208
- Sudarsham, E.C.G., Chiu, Ch.V., (1993) Phys. Rev. D, 47, p. 2602
- Cohen-Tannoudji, C., Diu, B., Laloe, F., (1977) Quantum Mechanics, , Hermann, Paris
- Exner, P., (1985) Open Quantum Systems and Feynman Integrals, , Reidel, Amsterdam
Citas:
---------- APA ----------
Castagnino, M., Domenech, G., Levinas, M. & Umérez, N. (1998) . The doublet representation of non-Hilbert eigenstates of the Hamiltonian. II. Journal of Mathematical Physics, 39(7), 3522-3529.http://dx.doi.org/10.1063/1.532449
---------- CHICAGO ----------
Castagnino, M., Domenech, G., Levinas, M., Umérez, N. "The doublet representation of non-Hilbert eigenstates of the Hamiltonian. II" . Journal of Mathematical Physics 39, no. 7 (1998) : 3522-3529.http://dx.doi.org/10.1063/1.532449
---------- MLA ----------
Castagnino, M., Domenech, G., Levinas, M., Umérez, N. "The doublet representation of non-Hilbert eigenstates of the Hamiltonian. II" . Journal of Mathematical Physics, vol. 39, no. 7, 1998, pp. 3522-3529.http://dx.doi.org/10.1063/1.532449
---------- VANCOUVER ----------
Castagnino, M., Domenech, G., Levinas, M., Umérez, N. The doublet representation of non-Hilbert eigenstates of the Hamiltonian. II. J. Math. Phys. 1998;39(7):3522-3529.http://dx.doi.org/10.1063/1.532449
