Center-of-mass corrections to the electromagnetic transitions of hydrogen atoms in strong magnetic fields

The influence of center-of-mass corrections on transition probabilities in the hydrogen spectrum is studied in a homogeneous magnetic field with the help of canonical transformations. To a good approximation, only energy differences are modified but in an unexpected way for electric quadrupole transitions. Center-of-mass corrections mainly affect the lifetimes of the tightly bound states with m<0. Dipole transitions remain dominant for reduced fields γ up to at least 1000. Quadrupole transitions should dominate the lifetimes of even-parity m=0 states at higher fields.