arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2304.08508quant-ph
收藏

某些薛定谔方程的解

Solutions of some Schrodinger equations

Brian L Burrows

AI总结:

本文研究了两种非厄米薛定谔方程系统,通过迭代法和广义内积希尔伯特空间求解非线性系统的激发态,并利用有限区间完备本征函数集探讨含复数项哈密顿量系统的有限与无限区间态关系。

摘要:

本文考虑了两种类型的非厄米系统。其中一种既是非厄米又非线性的,使用迭代过程获取激发态解;基态可能被精确求解。该模型已用于许多物理系统,计算方法使用带有广义内积的简单希尔伯特空间。第二种类型在哈密顿量中含有一个复数项,是无限区间内被充分研究的问题。本文考虑了有限区间,并使用了该区间的完备本征函数集。讨论了有限区间态与无限区间态之间的关系。

英文摘要:

Two types of non-Hermitian systems are considered. One of them is both non-Hermitian and non-Linear and an iterative process is used to obtain excited state solutions; the ground state may be solved exactly. The model has been used in many physical systems and the method of calculation uses a simple Hilbert space with a generalised inner product. The second type has a complex term in the Hamiltonian and is a well studied problem in the infinite interval. Here a finite interval is considered and a complete set of eigenfunctions for this interval is used.The relationship between the finite interval states and the infinite interval states is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑