Grid methods and Hilbert space basis for simulations of quantum dynamics

Citation
S. Guerin et Hr. Jauslin, Grid methods and Hilbert space basis for simulations of quantum dynamics, COMP PHYS C, 122, 1999, pp. 496-498
Citations number
9
Categorie Soggetti
Physics
Journal title
COMPUTER PHYSICS COMMUNICATIONS
ISSN journal
00104655 → ACNP
Volume
122
Year of publication
1999
Pages
496 - 498
Database
ISI
SICI code
0010-4655(199909/10)122:<496:GMAHSB>2.0.ZU;2-7
Abstract
We discuss spatial grid methods adapted to the structure of Hilbert spaces, used to simulate quantum mechanical systems. We review the construction of Finite Basis Representation (FBR) and the Discrete Variable Representation (DVR). A mixed representation (pseudo-spectral method) is constructed thro ugh a quadrature relation linking both bases. (C) 1999 Elsevier Science B.V . All rights reserved.