| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000404346 |
| ISSN: | 0035-001X |
| Authors: | Hernández Maldonado, Alberto1 Romo, Roberto2 Villavicencio, Jorge2 |
| Institutions: | 1Universidad Autónoma de Baja California, Escuela de Ciencias de la Ingeniería y Tecnología, Tijuana, Baja California. México 2Universidad Autónoma de Baja California, Facultad de Ciencias, Ensenada, Baja California. México |
| Year: | 2016 |
| Season: | May-Jun |
| Volumen: | 62 |
| Number: | 3 |
| Pages: | 257-266 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | The convergence of stationary and dynamical resonance expansions that involve complex eigenenergies of the system is analyzed in the calculation of the electronic probability density along the internal region of a resonant structure. We show that an appropriate selection of the resonance contributions leads to results that are numerically indistinguishable from the exact Hermitian calculation. In particular, the role played by the anti-resonances in the convergence process is emphasized. An interesting scaling property of the Schrodinger equation, and ¨ the stationary resonance expansion, useful for the analysis of convergence of families of systems, is also demonstrated. The convergence of a dynamical resonance expansion based on a Moshinsky shutter setup, is explored in the full time domain. In particular, we explore the build process of the electronic probability density in the transient regime, analyzing the contributions of different resonant states in the earliest stages of the buildup process. We also analyze the asymptotic limit of very long times, converging in the latter case to the stationary solution provided by the exact Hermitian calculation |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Física de materia condensada, Expansión, Estados Gamow |
| Keyword: | Physics and astronomy, Condensed matter physics, Physics, Expansion, Gamow states |
| Full text: | Texto completo (Ver PDF) |
