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

共 50 条

[1] A Note on Optimal Control Problem Governed by Schrodinger Equation
Kocak, Yusuf
Celik, Ercan
Aksoy, Nigar Yildirim
OPEN PHYSICS, 2015, 13 (01): : 407 - 413
[2] On the optimal control problem for linear Schrodinger equation
Yildiz, B
Subasi, M
APPLIED MATHEMATICS AND COMPUTATION, 2001, 121 (2-3) : 373 - 381
[3] On the optimal control problem for Schrodinger equation with complex potential
Yetiskin, Hakan
Subasi, Murat
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (07) : 1896 - 1902
[4] An Optimal Control Problem with Final Observation for Systems Governed by Nonlinear Schrodinger Equation
Aksoy, Nigar Yildirim
Aksoy, Eray
Kocak, Yusuf
FILOMAT, 2016, 30 (03) : 649 - 665
[5] Optimal Control Problem for Nonstationary Schrodinger Equation
Yildiz, Bunyamin
Kilicoglu, Oguz
Yagubov, G.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (05) : 1195 - 1203
[6] On the optimal control problem governed by the nonlinear elastic beam equation
Galewski, Marek
APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 916 - 920
[7] On the stability of the solution in an optimal control problem for a Schrodinger equation
Subasi, Murat
Durur, Hulya
APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 : 521 - 526
[8] ESTIMATION OF SPEED OF CONVERGENCE DIFFERENCE APPROXIMATIONS ON FUNCTIONAL IN OPTIMAL CONTROL PROBLEM FOR LINEAR SCHRODINGER EQUATION
Mahmudov, N. M.
BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2010, (06): : 54 - 65
[9] Inverse Spectral Problem for the Schrodinger Equation with an Additional Linear Potential
Khanmamedov, A. Kh.
Makhmudova, M. G.
THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 202 (01) : 58 - 71
[10] Optimal control problem governed by a kind of Kirchhoff-type equation
Wang, Yue
Wei, Wei
CHAOS SOLITONS & FRACTALS, 2024, 187

← 1 2 3 4 5 →