The first continuous coherent Lyman-alpha source

Ultrahigh-resolution laser spectroscopy of antihydrogen atoms in a magnetic trap could open a new field of challenging tests of the fundamental CPT th eorem. The required laser cooling and laser spectroscopy techniques are als o essential for future experiments on the gravitational acceleration of ant imatter. Laser cooling of antihydrogen can be done on the strong 1S-2P tran sition at Lyman-alpha (121.56 nm). We describe the first source of continuo us coherent Lyman-alpha radiation and its possible application in experimen ts with antihydrogen.