Abstract

The wave function and ground state energy for a discrete nonlinear Schrödinger equation (DNLSE) with a trap can be found numerically using an iterative process. However, this approach does not always give convergent results. A functional is proposed that is not an energy functional, the minimum of which always gives the ground state of the system under consideration.

中文翻译：

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用陷阱求解离散非线性Schrödinger方程

摘要

带有陷阱的离散非线性Schrödinger方程（DNLSE）的波函数和基态能量可以使用迭代过程在数值上找到。但是，这种方法并不总是会产生收敛的结果。提出了一种功能，它不是能量功能，其最小总是给出所考虑系统的基态。