Artículos de revistas
Principle of stationary phase for propagating wave packets in the unidimensional scattering problem
Registro en:
European Physical Journal C. Springer, v. 56, n. 4, n. 545, n. 556, 2008.
1434-6044
WOS:000259275200009
10.1140/epjc/s10052-008-0669-4
Autor
Bernardini, AE
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) We point out some incompatibilities which appear when one applies the stationary phase method for deriving phase times to obtain the spatial localization of wave packets scattered by a unidimensional potential barrier. We concentrate on the above barrier diffusion problem where the wave packet collision implies the possibility of multiple reflected and transmitted wave packets, which, depending on the boundary conditions, can overlap or stand in relative separation in space. We demonstrate that the indiscriminate use of the method for such a particular configuration leads to paradoxical results for which the correct interpretation, confirmed by analytical/numerical calculations, imposes the necessity of the appearance of multiple peaks as a consequence of multiple reflections by the barrier steps. 56 4 545 556 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP [2004/13770-0]