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Going from Classical to Quantum Description of Bound Charged Particles Part 1: Basic Concepts and Assertions | | T. Yarman
; A.L. Kholmetskii
; O.V. Missevitch
; | | Date: |
25 Nov 2009 | | Abstract: | In this paper we analyze again a transition from classical to quantum
description of bound charged particles, which involves a drastic modification
of structure of their electromagnetic fields related to the well-known fact
that bound micro-particles in stationary energy states do not radiate. We show
that a simple exclusion of radiative component of electromagnetic field
produced by bound particles leads to violation of the energy-momentum
conservation law, if the non-radiative electromagnetic field is left
unmodified. In order to restore the energy-momentum conservation, we make a
closer look at the interaction of two charges with a forbidden radiation
component of their electromagnetic field and bring the appropriate
modifications in the Hamilton function of this system. Hence we deduce a new
Hamilton operator for hydrogenic atoms, which differs from the commonly used
Hamiltonian by the appropriate corrections, reflecting the modifications in the
Hamilton function. Introducing the corresponding modifications into the
Hamilton operator, we show that the solution of the modified Dirac Coulomb
equation gives the same gross and fine structure of energy levels, as the one
furnished by the conventional approach, for hydrogenlike atoms. The suggested
modifications of the Hamiltonian induce the corrections to the energy levels at
the scale of hyperfine interactions, which at once remove many long-standing
discrepancies between theory and experiment in physics of light hydrogenic
atoms, as discussed in the part 2 of this paper. | | Source: | arXiv, 0911.4780 | | Services: | Forum | Review | PDF | Favorites | |
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