Accession Number : ADA323262

Title :   Unitary (Normal Preserving) Methods for Solving the Schrodinger Equation with Implementation in C and C++.

Descriptive Note : Final rept.,

Corporate Author : NAVAL AIR WARFARE CENTER WEAPONS DIV CHINA LAKE CA

Personal Author(s) : Tran, Phuc ; Escobar, Fernando J.

PDF Url : ADA323262

Report Date : JAN 1997

Pagination or Media Count : 44

Abstract : Currently, the Naval Air Warfare Center Weapons Division is exploring using the solution of the time-dependent Schrodinger for some applications in signal processing. The approach being taken to solve this problem is a difference equation. However, the solution based upon a difference equation is unstable, and the solution must be renormalized every time step. This report reviews two methods to obtain solutions that are stable and unitary (preserve the norm). Both methods are based upon the split-operator approach. One method, called the k-space method, will use the FFT, and one method, called the R-space method, will not. The k-space method is more accurate than the R-space method. However, it is a global method (because it uses the FFT), while the R-space method is local. This difference can be exploited to efficiently use the available computing architecture. Included in this report are two software packages (one in C and one in C++) that implement these methods.

Descriptors :   *SCHRODINGER EQUATION, *C PROGRAMMING LANGUAGE, ALGORITHMS, SIGNAL PROCESSING, SOFTWARE ENGINEERING, TIME DEPENDENCE, DIFFERENCE EQUATIONS, ACCURACY, FAST FOURIER TRANSFORMS, WAVE FUNCTIONS, APPLIED MATHEMATICS, LAPLACE TRANSFORMATION.

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE