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Open Quantum Systems Decoherence

Classical versus quantum calculation of radiative electric quadrupole transition rates for hydrogenic states

arXiv
Authors: Michael Horbatsch, Marko Horbatsch

Year

2021

Paper ID

63008

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

The semiclassical Kepler-Coulomb problem and the quantum-mechanical Schrödinger-Coulomb problem are compared for their predictions of quadrupole E2 transitions. The semiclassical treatment involves an extension of previous work for the electric dipole transitions (Physical Review A 71, 020501), and rates are derived for Δell= 0, pm 2 transitions on the basis of the multipolar properties of the emitted radiation. For the quantum case a derivation is presented within the Schrödinger framework without reference to spin. Comparison of the E2 rates shows reasonable agreement, but not as good as was found for the electric dipole case.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • The semiclassical Kepler-Coulomb problem and the quantum-mechanical Schrödinger-Coulomb problem are compared for their predictions of quadrupole E2 transitions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2107.10436 [2] arXiv https://arxiv.org/abs/2107.10436 [3] Publisher https://arxiv.org/abs/2107.10436

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