Calculation of matrix elements in filter diagonalization: a generalized method based on Fourier transform

被引:29
作者
Chen, RQ
Guo, H
机构
[1] Department of Chemistry, University of Toledo, Toledo
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0009-2614(97)00908-1
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
An efficient scheme is proposed for calculating the elements of the overlap and Hamiltonian matrices in filter diagonalization. This method is based on the cosine Fourier transform between the angle and order domains of the Chebyshev operator. The fast Fourier transform (FFT) implementation of this method renders a favorable scaling law in calculating the matrix elements. Our method represents a generalization of existing schemes and is applicable to matrices of any functions of the Hamiltonian operator. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:252 / 258
页数:7
相关论文
共 34 条
[11]   A GENERAL TIME-TO-ENERGY TRANSFORM OF WAVEPACKETS - TIME-INDEPENDENT WAVEPACKET-SCHRODINGER AND WAVEPACKET-LIPPMANN-SCHWINGER EQUATIONS [J].
HUANG, YH ;
ZHU, W ;
KOURI, DJ .
CHEMICAL PHYSICS LETTERS, 1993, 206 (1-4) :96-101
[12]   EXTRACTION OF EIGENSTATES FROM AN OPTICALLY PREPARED STATE BY A TIME-DEPENDENT QUANTUM-MECHANICAL METHOD - TOWARD SIMULATION OF INTERMEDIATE CASE RADIATIONLESS TRANSITIONS [J].
KONO, H .
CHEMICAL PHYSICS LETTERS, 1993, 214 (02) :137-143
[13]   A DIRECT RELAXATION METHOD FOR CALCULATING EIGENFUNCTIONS AND EIGENVALUES OF THE SCHRODINGER-EQUATION ON A GRID [J].
KOSLOFF, R ;
TALEZER, H .
CHEMICAL PHYSICS LETTERS, 1986, 127 (03) :223-230
[14]   ACCELERATION OF CONVERGENCE IN THE POLYNOMIAL-EXPANDED SPECTRAL DENSITY APPROACH TO BOUND AND RESONANCE STATE CALCULATIONS [J].
KOURI, DJ ;
ZHU, W ;
PARKER, GA ;
HOFFMAN, DK .
CHEMICAL PHYSICS LETTERS, 1995, 238 (4-6) :395-403
[15]  
Kulander KC., 1992, Atoms in intense laser fields
[16]   SPECTRAL PROJECTION APPROACH TO THE QUANTUM SCATTERING CALCULATIONS [J].
MANDELSHTAM, VA ;
TAYLOR, HS .
JOURNAL OF CHEMICAL PHYSICS, 1995, 102 (19) :7390-7399
[17]   A low-storage filter diagonalization method for quantum eigenenergy calculation or for spectral analysis of time signals [J].
Mandelshtam, VA ;
Taylor, HS .
JOURNAL OF CHEMICAL PHYSICS, 1997, 106 (12) :5085-5090
[18]   The quantum resonance spectrum of the H-3(+) molecular ion for J=0. An accurate calculation using filter diagonalization [J].
Mandelshtam, VA ;
Taylor, HS .
JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS, 1997, 93 (05) :847-860
[19]   BOUND-STATES AND RESONANCES OF THE HYDROPEROXYL RADICAL HO2 - AN ACCURATE QUANTUM-MECHANICAL CALCULATION USING FILTER DIAGONALIZATION [J].
MANDELSHTAM, VA ;
GROZDANOV, TP ;
TAYLOR, HS .
JOURNAL OF CHEMICAL PHYSICS, 1995, 103 (23) :10074-10084
[20]   A SIMPLE RECURSION POLYNOMIAL EXPANSION OF THE GREENS-FUNCTION WITH ABSORBING BOUNDARY-CONDITIONS - APPLICATION TO THE REACTIVE SCATTERING [J].
MANDELSHTAM, VA ;
TAYLOR, HS .
JOURNAL OF CHEMICAL PHYSICS, 1995, 103 (08) :2903-2907