GENERALIZED FOURIER-GRID R-MATRIX THEORY - A DISCRETE FOURIER-RICCATI-BESSEL TRANSFORM APPROACH

被引：15

作者：

LAYTON, EG

STADE, E

机构：

[1] NATL INST STAND & TECHNOL,BOULDER,CO 80309

[2] UNIV COLORADO,DEPT MATH,BOULDER,CO 80309

来源：

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 1993年 / 26卷 / 16期

关键词：

D O I：

10.1088/0953-4075/26/16/001

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present the latest developments in the Fourier-grid R-matrix theory of scattering. These developments are based on the generalized Fourier-grid formalism and use a new type of extended discrete Fourier transform: the discrete Fourier-Riccati-Bessel transform. We apply this new R-matrix approach to problems of potential scattering, to demonstrate how this method reduces computational effort by incorporating centrifugal effects into the representation. As this technique is quite new, we have hopes to broaden the formalism to many types of problems.

引用

页码：L489 / L494

页数：6

共 11 条

[1]

ANTOSIEWICZ HA, 1965, HDB MATH FUNCTIONS, pCH10

[2]

Burke P. G., 1976, ADV ATOM MOL PHYS, V11, P143, DOI DOI 10.1016/S0065-2199(08)60030-5

[3] THE COMPLEX-SCALING FOURIER-GRID HAMILTONIAN METHOD FOR RESONANCE STATE PROBLEMS [J].

CHU, SI .

CHEMICAL PHYSICS LETTERS, 1990, 167 (1-2) :155-157

[4] COMPLEX QUASIVIBRATIONAL ENERGY FORMALISM FOR INTENSE-FIELD MULTIPHOTON AND ABOVE-THRESHOLD DISSOCIATION - COMPLEX-SCALING FOURIER-GRID HAMILTONIAN METHOD [J].

CHU, SI .

JOURNAL OF CHEMICAL PHYSICS, 1991, 94 (12) :7901-7909

[5]

DIRAC PAM, 1958, PRINCIPLES QUANTUM M, pCH3

[6] GENERALIZED FOURIER-GRID HAMILTONIAN APPROACH TO THE DIRAC-EQUATION - VARIATIONAL SOLUTION WITHOUT BASIS SET [J].

LAYTON, E ;

CHU, SI .

CHEMICAL PHYSICS LETTERS, 1991, 186 (01) :100-106

[7] THE FOURIER-GRID FORMALISM - PHILOSOPHY AND APPLICATION TO SCATTERING PROBLEMS USING R-MATRIX THEORY [J].

LAYTON, EG .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1993, 26 (16) :2501-2522

[8] GENERALIZED DISCRETE VARIABLE APPROXIMATION IN QUANTUM-MECHANICS [J].

LIGHT, JC ;

HAMILTON, IP ;

LILL, JV .

JOURNAL OF CHEMICAL PHYSICS, 1985, 82 (03) :1400-1409

[9] THE FOURIER GRID HAMILTONIAN METHOD FOR BOUND-STATE EIGENVALUES AND EIGENFUNCTIONS [J].

MARSTON, CC ;

BALINTKURTI, GG .

JOURNAL OF CHEMICAL PHYSICS, 1989, 91 (06) :3571-3576

[10]

STADE E, 1993, UNPUB

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