CALCULATION OF THE DENSITY-OF-STATES USING DISCRETE VARIABLE REPRESENTATION AND TOEPLITZ MATRICES

被引：11

作者：

EISENBERG, E ^{[1
]}

BARAM, A ^{[1
]}

BAER, M ^{[1
]}

机构：

[1] BAR ILAN UNIV,DEPT PHYS,IL-52900 RAMAT GAN,ISRAEL

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 16期

关键词：

D O I：

10.1088/0305-4470/28/16/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A direct and exact method for calculating the density of states for systems with localized potentials is presented. The method is based on explicit inversion of the operator E - H. The operator is written in the discrete variable representation of the Hamiltonian, and the Toeplitz property of the asymptotic part of the infinite thus obtained matrix is used. Thus, the problem is reduced to the inversion of a finite matrix.

引用

收藏

页码：L433 / L438

页数：6

相关论文

共 40 条

[1] CLASS OF ANALYTIC PERTURBATIONS FOR ONE-BODY SCHRODINGER HAMILTONIANS [J].

AGUILAR, J ;

COMBES, JM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 22 (04) :269-&

[2] SOME MATHEMATICAL PROPERTIES OF MAGNETIC-RESONANCE LINE-SHAPES [J].

ALEXANDER, S ;

BARAM, A ;

LUZ, Z .

JOURNAL OF CHEMICAL PHYSICS, 1974, 61 (03) :992-999

[3]

BACIC Z, 1987, J CHEM PHYS, V86, P3065

[4] HIGHLY EXCITED VIBRATIONAL LEVELS OF FLOPPY TRIATOMIC-MOLECULES - A DISCRETE VARIABLE REPRESENTATION - DISTRIBUTED GAUSSIAN-BASIS APPROACH [J].

BACIC, Z ;

LIGHT, JC .

JOURNAL OF CHEMICAL PHYSICS, 1986, 85 (08) :4594-4604

[5] VARIATIONAL-PRINCIPLES FOR REACTIVE COLLISIONS BASED ON THE GENERALIZED LAGRANGE MULTIPLIER METHOD [J].

BAER, M ;

NAKAMURA, H .

JOURNAL OF CHEMICAL PHYSICS, 1992, 96 (09) :6565-6575

[6] A NEW ACCURATE (TIME-INDEPENDENT) METHOD FOR TREATING REACTIVE COLLISIONS - CONVERSION OF A SCATTERING PROBLEM INTO A BOUND PROBLEM [J].

BAER, M ;

NEUHAUSER, D ;

OREG, Y .

JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS, 1990, 86 (10) :1721-1727

[7] SPECTRAL PROPERTIES OF MANY-BODY SCHRODINGER OPERATORS WITH DILATATION-ANALYTIC INTERACTIONS [J].

BALSLEV, E ;

COMBES, JM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 22 (04) :280-&

[8] THE ASYMPTOTIC METHOD AND SPECTRAL LINESHAPES [J].

BARAM, A .

MOLECULAR PHYSICS, 1980, 41 (04) :823-831

[9]

BARAM A, 1983, J PHYS A, V16, pL21

[10] THE SPHERICAL MODEL OF A FERROMAGNET [J].

BERLIN, TH ;

KAC, M .

PHYSICAL REVIEW, 1952, 86 (06) :821-835

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