  The goal of the present article is to review the major developments that have
led to the current understanding of molecule-field interactions and
experimental methods for manipulating molecules with electromagnetic fields.
Molecule-field interactions are at the core of several, seemingly distinct,
areas of molecular physics. This is reflected in the organization of this
article, which includes sections on Field control of molecular beams, External
field traps for cold molecules, Control of molecular orientation and molecular
alignment, Manipulation of molecules by non-conservative forces, Ultracold
molecules and ultracold chemistry, Controlled many-body phenomena, Entanglement
of molecules and dipole arrays, and Stability of molecular systems in
high-frequency super-intense laser fields. The article contains 853 references.
