6533b7d9fe1ef96bd126cb65

RESEARCH PRODUCT

Grid methods and Hilbert space basis for simulations of quantum dynamics

Hans-rudolf JauslinStéphane Guérin

subject

Basis (linear algebra)Dynamical systems theoryQuantum dynamicsHilbert spaceGeneral Physics and AstronomyTopologyGridQuadrature (mathematics)symbols.namesakeHardware and ArchitecturesymbolsRepresentation (mathematics)QuantumMathematics

description

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 through a quadrature relation linking both bases.

https://doi.org/10.1016/s0010-4655(99)00390-2