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WORLD SCIENTIFIC eBooks

Significance of Classically Forbidden Transitions

Published Sep 26, 2019• 0 citations
Publisher
DOI
10.1142/9789811203428_0006

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In the framework of classical electrodynamics we have obtained and investigated analytical expressions for the radiation linewidth of forbidden E2 transitions in an atom located near a dimer of spherical particles. It is shown that the material of particles, their location and size have a significant effect on the linewidth of the E2 transition in the atom. It is found that in the gap between metal spherical nanoparticles, the linewidth of E2 transitions in the atom can take on substantially larger values than in the case of an atom near a single metal nanoparticle.
Forbidden transitions such as intercombination ones, appear due to relativistic effects. In light atoms these effects are usually incorporated through the use of Breit-Pauli Hamiltonian. We show that for some transitions such as E2E2E2 or M1M1M1 this treatment is incomplete. There exist additional corrections to the transition amplitude which can be equally significant. We analyze also the role of the anomalous magnetic moment of the electron in some forbidden transitions.