Bergen Center for Computational Science

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Time dependent Quantum Computing

This subproject address some techniques for solving the time dependent Schrödinger equation,

$\left( \hat{H} - i \frac{\partial}{\partial t} \right)\Psi\left(\vec{r},t\right) = 0$

Two solution methods are addressed:

Basis expansion leads to a coupled first order system for the expansion coefficients,

$i \frac {d}{dt}\vec{c} = {\bf M}(t) \vec{c}$

A parallel solver for basis expansion.

$$\Psi\left(\vec{r},T\right ) = e^{-i \int_0^T \hat{H}(t) dt} \Psi\left(\vec{r},t=0 \right)$

Examples and programs in 1D 2D and 3D

This page is maintained by webmaster@bccs.uib.no. Last updated: Thursday 05 October, 2006