SPECTRAL METHODS IN COMPUTATIONAL QUANTUM-MECHANICS

被引：4
|
作者：
MARANER, P
ONOFRI, E
TECCHIOLLI, GP
机构：
[1] UNIV TRENTO,DIPARTMENTO FIS,I-38050 TRENT,ITALY
[2] IST NAZL FIS NUCL,GRP COLLEGATO PARMA,PARMA,ITALY
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1991年 / 37卷 / 1-3期
关键词：
SPECTRAL METHODS; QUANTUM MECHANICS; LANDAU LEVELS;
D O I：
10.1016/0377-0427(91)90119-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review some applications of spectral methods based on Fourier expansions to computational problems in quantum mechanics and we discuss a single topic in some detail, namely the case of a quantum (charged) spinless particle on a Riemannian manifold interacting with a magnetic field (the problem of Landau levels in a curved configuration space). We study the asymptotic expansion of the ground state around the flat metric and we give an estimate of the first few coefficients.
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页码：209 / 219
页数：11
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