### Continuity conditions for the wave function of a particle with a position-depend

2019-11-26 11:23:57

wave
mass
field
conditions
dependent

责任者: Moiseyev, N.;Lefebvre, R. 单位: Dept. of Chem., Haifa, Israel 来源出处: Physical Review A (Atomic, Molecular, and Optical Physics)(Phys. Rev. A, At. Mol. Opt. Phys. (USA)),2001/11/,64(5):052711-1 摘要: The continuity conditions for the wave function of a particle with a position-dependent mass and interacting with an oscillating field are derived. One-dimensional motion is assumed and the potential is represented as a series of constant steps. The method introduces discontinuities in the potential and the mass and the matching conditions need to be reformulated to take into account the presence of the field. An application is made to the calculation of the transmissivity of an electron with a sector-dependent effective mass in a nanostructure. The use in each sector of the wave equation without the A2 term is necessary to ensure convergence with respect to the number of channels 关键词: atom-electron collisions;convergence of numerical methods;wave functions;continuity conditions;particle wave function;current continuity;position-dependent mass;sector Gordon-Volkov equations;laser field;oscillating field;one-dimensional motion;discontinuities;matching conditions;potential;sector-dependent effective mass;nanostructure;wave equation;A2 term;convergence;channels;transmissivity