DocumentCode
1657340
Title
Solution of Schrödinger Equation Based on State Transition Matrix
Author
Yifan, Xing ; Qinwen, Xiao ; Diyang, Chu ; Xice, Sun ; Jun, Wu
Author_Institution
Zhejiang Univ., Hangzhou
fYear
2007
Firstpage
589
Lastpage
591
Abstract
Based on the systematic discussion of normalization and the matrix representation of operator, we use state transition matrix to derive the solutions for stationary and non-stationary Schrodinger equation. Unlike the matrix representation of eigenstate in quantum information, this paper presents a matrix solution theory for superposition state, and provides a theoretical basis for applying the means of control to quantum systems.
Keywords
Schrodinger equation; eigenvalues and eigenfunctions; matrix algebra; quantum theory; eigenstate matrix representation; matrix solution theory; nonstationary Schrodinger equation; quantum system control; state transition matrix; Control systems; Eigenvalues and eigenfunctions; Industrial control; Process control; Quantum mechanics; Schrodinger equation; Sun; Matrix Representation of Operator; Quantum Control; Schrödinger Equation; State Transition Matrix;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference, 2007. CCC 2007. Chinese
Conference_Location
Hunan
Print_ISBN
978-7-81124-055-9
Electronic_ISBN
978-7-900719-22-5
Type
conf
DOI
10.1109/CHICC.2006.4347594
Filename
4347594
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