Vibrational transition spectra of H₂⁺ in a strong magnetic field

Vibrational transition spectra of H₂⁺ in an ultra-strong magnetic field are determined. The validity of Born-Oppenheimer approximation is analyzed based on one-center method and B-spline basis sets. It is shown that Born-Oppenheimer approximation is reliable for the investigation on the ground state and low excited states of H₂⁺ subjected to the strong magnetic field. Furthermore, it is found that the vibrational transition spectra from 1σ_g, 1π_u, and 1δ_g states lie in infrared, visible, and ultraviolet ranges with increasing magnetic field strength.