Formalized quantum mechanical Floquet theory and its application to sample spinning in nuclear magnetic resonance

Abstract

Quantum mechanical Floquet theory, a powerful tool for the solution of Schrödinger equations with a periodically time-dependent Hamiltonian is formalized by the systematic usage of the Floquet Hilbert space, the Floquet density operator, Floquet detection operators, and of the Floquet Liouville space. A concise description is obtained that is useful in analytical calculations and for computer simulations. It is implemented in the context of the general computational environment ‘GAMMA’. Simplified expressions are derived for single-axis and double-axis sample-spinning experiments in NMR.