6533b831fe1ef96bd1299738

RESEARCH PRODUCT

Optimal control of the Schrödinger equation with two or three levels

Grégoire CharlotJean-paul GauthierUgo Boscain

subject

symbols.namesakeYield (engineering)Control theoryOptimal trajectorysymbolsApplied mathematicsMathematics::Differential GeometryRiemannian geometryOptimal controlPrincipal bundleSchrödinger equationMathematics

description

In this paper, we present how techniques of “control theory”, “sub-Riemannian geometry” and “singular Riemannian geometry” can be applied to some classical problems of quantum mechanics and yield improvements to some previous results.

yearjournalcountryeditionlanguage
2007-10-07
https://doi.org/10.1007/3-540-45802-6_3