Mathematical Physics


On Highly Relativistic Deep Electrons

Authors: Jean-Luc Paillet, Andrew Meulenberg

We address a number of questions relating to the progress of our study on the relativistic-electron deep orbits (EDOs): - How to combine different EM potentials having two possible versions (attractive and repulsive), while rejecting unrealistic energies? - What about the angular momentum of the deep electrons? How is the Heisenberg Uncertainty Relation satisfied in these EDOs? - From where is extracted the high kinetic energy (of order 100 MeV) of the deep-orbit electrons? - What is the behavior of the effective potential Veff as a function of distance to the nucleus? - What is the order of magnitude of the radiative corrections for the EDO’s? - What is the relation between EDO solutions of the Dirac equation and the high energy resonances (with high binding energies) corresponding to a semi-classical local minimum of energy?

Comments: 16 Pages. To be published in JCMNS 29 (2019)

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Submission history

[v1] 2019-02-23 11:53:59
[v2] 2019-03-02 03:26:20

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