SPECTRAL METHODS IN COMPUTATIONAL QUANTUM-MECHANICS

[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.

[发布日期] 1991-11-18

[关键词] SPECTRAL METHODS;QUANTUM MECHANICS;LANDAU LEVELS