Energy conservation in approximated solutions of multi-beam scattering problems

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS

卷:239

Article

Morelhao, SL ; Avanci, LH ; Kycia, S

关键词: quantum scattering theory;    born approximation series;    time-dependent solutions;    coherence theory;    theories of diffraction and scattering;   

DOI  :  10.1016/j.nimb.2005.03.290

来源: Elsevier

【 摘 要 】

Scattering of particles by time-independent potentials is describable by wave solutions in the form of series expansion. As mathematically demonstrated here, such form of solutions when applied to multi-beam scattering phenomena can lead to energy violation where the incident and scattered numbers of particles are not preserved. In this work, we outline a general basic requirement for developing consistent solutions of time-dependent multi-beam scattering problems by extended potentials. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free