The discrete variable method for the solution of the time-dependent Schrodinger

2019-09-22 02:46:16

time optical equation dependent Schrodinger

责任者: Schneider, Barry I.;Collins, Lee A. 单位: 来源出处: Journal of Non-Crystalline Solids,2005,351(18):1551-1558 摘要: A solution of the time-dependent Schrodinger equation (TDSE) is required in a variety of problems in physics and chemistry. These include atoms and molecules in time dependent electromagnetic fields, a variety of atomic collision problems and in describing the behavior of materials subjected to internal and external forces. In many situations, especially at the nanoscale level, the evolution of the physical system occurs over multiple length and time scales and a computationally efficient approach is a necessity to make progress. Here we explore and compare, for both accuracy and efficiency, a number of methods to discretize and to propagate solutions to the Schrodinger equation. Published by Elsevier B.V. 关键词: Nonlinear equations;Problem solving;Electromagnetic fields;Solitons;Optical fibers;Nonlinear optics;Optical communication;Gas condensates;Hamiltonians;Boundary conditions;Mathematical models;Time-dependent Schrodinger equations (TDSE);Bose-Einstein condensates;Laser sources;Optical pulses