Increase of the binding energy of an electron by coupling to a photon field

Details Increase of the binding energy of an electron by coupling to a photon field Increase of the binding energy of an electron by coupling to a photon field

2002-04-27

arxiv.org/abs/math-ph/0204052v1

Physics

Mathematical Physics

Scientific paper

We look at an electron in the field of an arbitrary external potential $V$, such that the Schr\"odinger operator $p^2 + V$ has at least one eigenvalue, and show that by coupling to a quantized radiation field the binding energy increases, at least for small enough values of the coupling constant $\alpha$. Moreover, we provide concrete numbers for $\alpha$, the ultraviolet cut-off $\Lambda$, and the radiative correction for which our procedure works.

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