Scattering of wave packets on atoms in the Born approximation
| Autor: | G. L. Kotkin, Dmitry Karlovets, Valery G. Serbo |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Physical Review A. 92 |
| ISSN: | 1094-1622 1050-2947 |
| Popis: | It has recently been demonstrated experimentally that $200\text{--}300$ keV electrons with the unusual spatial profiles can be produced and even focused to a subnanometer scale---namely, electrons carrying nonzero orbital angular momentum and also the so-called Airy beams. Since the wave functions of such electrons do not represent plane waves, the standard Born formula for scattering of them off a potential field is no longer applicable and, hence, needs modification. In the present paper, we address the generic problem of elastic scattering of a wave packet of a fast nonrelativistic particle off a potential field. We obtain simple and convenient formulas for a number of events and an effective cross section in such a scattering, which represent generalization of the Born formula for a case when finite sizes and spatial inhomogeneity of the initial packet should be taken into account. As a benchmark, we consider two simple models corresponding to scattering of a Gaussian wave packet on a Gaussian potential and on a hydrogen atom, and perform a detailed analysis of the effects brought about by the limited sizes of the incident beam and by the finite impact parameter between the potential center and the packet's axis. |
| Databáze: | OpenAIRE |
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