Atomic Ground State Energy in Multiply Connected Universes

Physics

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Scientific paper

We consider a hydrogen atom interacting with electromagnetic vacuum fluctuations in a variety of multiply connected universes, and calculate, to order e^2, the shift in energy of its ground state from the value it would take in Minkowski space. The classical dipole self-interaction is also included and, for investigation, we choose universes with underlying manifolds R^1 brgotimes T^3, R^1 bigotimes B_1 and R^1 bigotimes G_2 upon each of which we impose a flat metric. In all cases, we find the energy shift to be proportional to the atom's static polarizability.

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