臺灣博碩士論文加值系統

使用阿達瑪微分公式的手法來研究薛丁格方程第二特徵函數的節點位置與其勢函數支撐區間位置的相對關係。

With the same idea as Hadamard differentiation formula to investigate the
variation of the position of nodal points of the 2nd eigenfunction of Schrödinger
equation with respect to the location of the support of its potential.

第一章 介 紹 (Introduction) …………… 1
第二章 主要結果 (Main results) ………… 3
第三章 例 子 (Examples) ……………… 10
參考文獻 (References) ………… 18

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[H] Harrell E.M. II, Kr¨oger, P, Kurata, K. , On the placement of an obstacle
or a well so as to optimize the fundamental eigenvalue, SIAM J. Math.
Anal. Vol.33, No.1, p.240-259.
[T] Trynin, A. Yu, Differential properties of zeros of eigenfunctions of the
Sturm-Liouville Problem, Ufa Mathematical Journal, vol.3, no.4, (2011),
p.130-140.