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arXiv math/0408116math.SP
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离散薛定谔方程的不定常解

Time-Dependent Solutions of a Discrete Schrodinger's Equation

Nigie Shi

摘要:

通过用依赖于离散拉普拉斯算子的两个参数的两个不同的函数代替对角项和另外两个相邻的对角项,其谱的性质从纯连续变为部分连续。通过改变这两个参数,我们给出了三个孤立本征值的存在性。

英文摘要:

By substituting the diagonal and the other two adjacent diagonals terms with two different functions depending on two parameters of the discrete Laplacian operator, the nature of its spectrum changes from being purely continuous to partially continuous. We present the existence of three isolated eigenvalues by altering those two parameters.

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。

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