A caesium atom in its ground state sits between two parallel plates in vacuum

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · Radiative transitions, external fields and collisions · Radiative transitions, external fields and collisions

Reading the Spectrum, Ch Atoms in an electric field: the Stark effect and polarizability

Problem

A caesium atom in its ground state sits between two parallel plates in vacuum. Someone who has just studied the magnetic case argues: "reversing the direction of the applied magnetic field reverses the sign of the magnetic splitting, mlμBB→−mlμBBm_l\mu_{\rm B}B \to -m_l\mu_{\rm B}B. By the same logic, reversing the applied electric field from +Ez^+E\hat z to −Ez^-E\hat z must reverse the sign of the Stark shift of the ground level." ((a)) Explain, starting from why the ground level has no permanent dipole, why this claim is false for a non-degenerate level such as the caesium ground state. ((b)) State how the induced dipole pp behaves when E→−EE \to -E, and show this is consistent with your answer to (a).

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