One-Dimensional Periodic Potential in Quantum Mechanics

Vladimir K. Ignatovich
1. Joint Institute for Nuclear Research Dubna, Russia
The material was received by the Editorial Board: 12.10.2007
An elegant mathematical method is demonstrated with the help of simplest one-dimensional problems of quantum mechanics. This method is then applied to calculation of scattering on one-dimensional periodic systems. Generalization of the method for calculation of scattering in three dimensional periodic media and for spinor particles is pointed out.

Keywords:
quantum mechanics, neutron optics, layered media, supermirrors, periodical systems.
УДК 537.311.32+548.4

One-Dimensional Periodic Potential in Quantum Mechanics
References: Ignatovich V.K. One-Dimensional Periodic Potential in Quantum Mechanics. Vestnik NSU. Series: Physics. 2008, vol. 3, no. 2. P. 99–107 (in Russ.). DOI: 10.54362/1818-7919-2008-3-2-99-107