1-) A uniform magnetic field B(vectorial) in the +x direction is applied to the hydrogen atom in a uniform electric field E(vectorial) in the +z direction. Due to the interaction between the magnetic moment eħ ji = 2mec due to the movement of the electron in the hydrogen atom around the nucleus and the external magnetic field B(vectorial), the system has an additional potential energy. V = -i ·B = µgI · B = HBBL× Calculate the change in the energy eigenvalue of the first excited state up to the first order by applying the perturbation theory, ignoring spin effects.

1-) A uniform magnetic field B(vectorial) in the +x direction is applied to the hydrogen atom in a uniform electric field E(vectorial) in the +z direction. Due to the interaction between the magnetic moment eħ ji = 2mec due to the movement of the electron in the hydrogen atom around the nucleus and the external magnetic field B(vectorial), the system has an additional potential energy. V = -i ·B = µgI · B = HBBL× Calculate the change in the energy eigenvalue of the first excited state up to the first order by applying the perturbation theory, ignoring spin effects.