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.

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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
eh
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 = HBL ·B = HBBLX
%3D
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.
Transcribed Image Text: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 eh 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 = HBL ·B = HBBLX %3D 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.
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