| Autor: |
Fernández-García, Nicolás, Rosas-Ortiz, Oscar |
| Rok vydání: |
2011 |
| Předmět: |
|
| Zdroj: |
SIGMA 7 (2011), 044, 17 pages |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.3842/SIGMA.2011.044 |
| Popis: |
We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown to include cases in which the impinging particle is 'captured' by the semi-harmonic rectangular potentials. The 'time of capture' is connected with the dwell time of the scattered wave. Using the particle absorption method, it is shown that the dwell time $\tau^a_D$ coincides with the phase time $\tau_W$ of Eisenbud and Wigner, calculated as the energy derivative of the reflected wave phase shift. Analytical expressions are derived for the phase time $\tau_W$ of the semi-harmonic delta well and barrier potentials. |
| Databáze: |
arXiv |
| Externí odkaz: |
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