SPECTRAL METHODS IN COMPUTATIONAL QUANTUM-MECHANICS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:37

Article

MARANER, P ; ONOFRI, E ; TECCHIOLLI, GP

关键词: SPECTRAL METHODS;    QUANTUM MECHANICS;    LANDAU LEVELS;   

DOI  :  10.1016/0377-0427(91)90119-5

来源: Elsevier

【 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.

【 授权许可】

Free