Absence of point spectrum for unitary operators
link https://doi.org/10.1016/j.jde.2007.10.025account_box Astaburuaga, M. A.account_box Bourget, O.account_box Cortes, V. H.account_box Fernandez, C.
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Let us consider the time-dependent Schrodinger equation,
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| Autor | Astaburuaga, M. A. Bourget, O. Cortes, V. H. Fernandez, C. |
| Título | Absence of point spectrum for unitary operators |
| Revista | JOURNAL OF DIFFERENTIAL EQUATIONS |
| ISSN | 0022-0396 |
| ISSN electrónico | 1090-2732 |
| Volumen | 244 |
| Número de publicación | 2 |
| Página inicio | 229 |
| Página final | 241 |
| Fecha de publicación | 2008 |
| Resumen | Let us consider the time-dependent Schrodinger equation, i phi(t) = -Delta phi + V (x, t)phi, on the Hilbert space L-2(R-n), where V (x, t) is a repulsive periodic time-dependent potential, with period T. We denote by (U(t, s))((t,s)is an element of RxR) its associated propagator. First, using a multiplier method, we rule out the existence of regular eigenvectors of the Floquet operator U(T, 0). Secondly, strengthening the hypotheses on the potential V, we prove that the spectrum of U(T, 0) does not contain any eigenvalues, by means of positive commutator methods. (c) 2007 Elsevier Inc. All rights reserved. |
| Derechos | acceso restringido |
| DOI | 10.1016/j.jde.2007.10.025 |
| Editorial | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Enlace | |
| Id de publicación en WoS | WOS:000253050300001 |
| Paginación | 13 páginas |
| Palabra clave | point spectrum propagator commutator Schrodinger equation TIME-DEPENDENT HAMILTONIANS SCATTERING THEORY |
| Tema ODS | 04 Quality Education |
| Tema ODS español | 04 Educación y calidad |
| Tipo de documento | artículo |