Discrete variable method for non-integrable quantum systems

被引：0

作者：

Schweizer, W ^{[1
]}

Fassbinder, P ^{[1
]}

González-Férez, R ^{[1
]}

机构：

[1] Univ Tubingen, Lehrstuhl Theoret Astrophys, D-72076 Tubingen, Germany

来源：

QUANTUM SYSTEMS IN CHEMISTRY AND PHYSICS, VOL 2: ADVANCED PROBLEMS AND COMPLEX SYSTEMS | 2000年 / 3卷

关键词：

D O I：

暂无

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：

We present an effective numerical algorithm based on discrete variable techniques combined with finite elements for solving non-separable three-dimensional Schrodinger equations. By an additional discretization of the time propagator an effective algorithm is given for studying wave-packet propagation in simple systems. As examples we present applications to astrophysical and quantum chaological problems.

引用

页码：301 / 321

页数：21

共 22 条

[1] Hyperspherical close-coupling calculations for helium in a strong magnetic field [J].

Braun, M ;

Schweizer, W ;

Elster, H .

PHYSICAL REVIEW A, 1998, 57 (05) :3739-3747

[2] THE SPECTRAL TRANSFORMATION LANCZOS METHOD FOR THE NUMERICAL-SOLUTION OF LARGE SPARSE GENERALIZED SYMMETRIC EIGENVALUE PROBLEMS [J].

ERICSSON, T ;

RUHE, A .

MATHEMATICS OF COMPUTATION, 1980, 35 (152) :1251-1268

[3] Numerical simulation of electronic wave-packet evolution [J].

Fassbinder, P ;

Schweizer, W ;

Uzer, T .

PHYSICAL REVIEW A, 1997, 56 (05) :3626-3629

[4] Hydrogen atom in very strong magnetic and electric fields [J].

Fassbinder, P ;

Schweizer, W .

PHYSICAL REVIEW A, 1996, 53 (04) :2135-2139

[5]

Fassbinder P, 1996, ASTRON ASTROPHYS, V314, P700

[6]

Gutzwiller MC, 1990, CHAOS CLASSICAL QUAN

[7]

HANSSEN J, 1979, J PHYS B ATOM MOL PH, V12, P89

[8]

Lehoucq R. B., 1997, ARPACK USERS GUIDE S

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

LIGHT, JC ;

HAMILTON, IP ;

LILL, JV .

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

[10] RELATIVISTIC HYDROGEN-ATOM IN A STRONG MAGNETIC-FIELD [J].

LINDGREN, KAU ;

VIRTAMO, JT .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1979, 12 (21) :3465-3472

← 1 2 3 →