Quantum Mechanics - Non degenerate Stationary Perturbation Theory : Stark Effect In Hydrogen Atom
Автор: Advanced Physics
Загружено: 2025-05-13
Просмотров: 1096
Описание: The effect that an external electric field has on the energy levels of an atom is called the Stark Effect. The study of an external uniform weak electric field, which is directed along the positive z-axis,on the ground state of a hydrogen atom,ignoring the spin degrees of freedom has been presented. Since the excited states of the hydrogen atom are degenerate while the ground state is non degenerate,non degenerate perturbation theory applies only to the ground state of hydrogen atom. Applying the basic theory of stationary non degenerate perturbation theory,energy of this system has been obtained. It is found that the correction term to the energy which is proportional to the electric field is zero which implies that there is no Linear Stark Effect. The underlying physics behind this is that when the hydrogen atom is in its ground state, it has no permanent electric dipole moment. We are left then with only a Quadratic dependence of the energy on which electric field. This is called Quadratic Stark Effect. The approximate value of the polarizability of the hydrogen atom has been also determined which agrees with the exact value of its polarizability.
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