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The Solutions of the Maxwell Equations Related to the Atom: Atom as a Crystal-Type Structure

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We suggest a new way of gauging of one integration constant in the Schwarzschild solution of Einstein field equations and apply this solution to the electric interaction. This enables, in a consequence, to find a new, here presented, solutions of the Maxwell equations for the system of two electrically charged, point-like particles. The solutions imply a new model of atom, with the static, mutually bound, elementary particles, which reside in some points, between the zones of repulsive and attractive field, where no force acts on them. Our concept of atom shell is only the second theory, after the Dirac's one, giving, in an independent way, at least some numerical values of energetic spectrum of hydrogen atom (with the same high precision as by the Dirac's solution). In addition, the subtle analysis of the dependence of electric field on time yields the concept of the field variable in time. In more detail, the intensity of the field oscillates between the real-valued and imaginary-valued subspaces of the necessarily assumed complex-valued space. The result indicates a possible way of unification of both Maxwellian electromagnetism originally describing the macroscopic phenomena and quantum physics describing the phenomena in microcosm.


Document Type: Research Article

Publication date: June 1, 2014

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  • QUANTUM MATTER is a peer-reviewed interdisciplinary journal consolidating research activities in all theoretical, experimental and technological aspects dealing with fundamental structure of matter from cosmology to materials science.
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