An optimal control problem governed by the potential of a linear Schrodinger equation

被引：10

作者：

Subasi, M ^{[1
]}

机构：

[1] Ataturk Univ, Fen Fak, Matemat Bolumu, TR-25240 Erzurum, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 131卷 / 01期

关键词：

Schrodinger equation; parabolic equation; Tichonov regularization;

D O I：

10.1016/S0096-3003(01)00161-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, for optimal control of the potential in a quantum mechanical system described by the linear Schrodinger equation the soundness of the problem statement is analyzed and a computing solution algorithm is specified. Since this problem is ill posed, using the Tichonov regularization, the problem is solved numerically. Also, the results are discussed on two simple problems. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：95 / 106

页数：12

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