Development of Software for Simulation for Quantum Systems

开发本科量子或现代物理教学模拟软件。它将以一种简单的离散形式引入时变薛定谔方程，以进行许多建立直觉的实时模拟。该软件将允许学生直接看到薛定谔方程支配现实世界的现象，如电磁波的共振吸收。这种直观的背景将使学生更容易理解作为偏微分方程的薛定谔方程的形式理论。该软件将是一个通用的一维和二维时变薛定谔求解器，基于一个新的快速和准确的算法。这个软件将在高级物理课程中立即使用。

Instructional simulation software for undergraduate quantum or modern physics will be developed. It will introduce the time-dependent Schrodinger equation in a simple discrete form to do many intuition-building real-time simulations. The software will allow students to see directly that the Schrodinger equation governs real-world phenomena such as resonant absorption of electromagnetic waves. This intuitive background will make it much easier for a student to understand the formal theory of the Schrodinger equation as a partial differential equation. The software will be a general-purpose one- and two-dimensional time-dependent Schrodinger solver, based on a new fast and accurate algorithm. This software will be of immediate use in upper-level physics courses.