By Eugene Oks

ISBN-10: 9814619922

ISBN-13: 9789814619929

The e-book provides counterintuitive theoretical effects, that have been released in respected refereed journals through the book's writer and via others. those primary effects holiday a number of paradigms of quantum mechanics and supply replacement interpretations of a few very important phenomena in atomic and molecular physics. First, it truly is proven that singular strategies of the Schrödinger and Dirac equations wouldn't have been continually rejected: they are often valid and valuable for explaining a few experimental effects, e.g., the high-energy tail of the linear momentum distribution within the floor country of hydrogenic atoms. moment, it truly is verified that cost alternate just isn't an inherently quantal phenomenon, yet particularly has classical roots. This result's utilized to the matter of continuum decreasing in plasmas. 3rd, it really is proven that the main hard challenge of classical physics that resulted in the improvement of quantum mechanics the failure to provide an explanation for the soundness of atoms should be truly solved inside a classical formalism from first ideas: the autumn of atomic electrons at the nucleus as a result of the radiative lack of the strength, which classically unavoidable, doesn't take place inside of Dirac's generalized Hamiltonian dynamics utilized to atomic physics. The underlying physics should be interpreted as a non-Einsteinian time dilation. Fourth, it truly is tested that during two-electron atoms or ions, the spin spin interplay, which used to be frequently regarded as an unimportant correction to the binding strength, truly makes an important contribution to the binding strength if the singular nature of this interplay is correctly taken into consideration.

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1. The dependence of the equilibrium value of the scaled radius v ≡ ρ/R of the electron orbit on the scaled axial coordinate w ≡ z/R of the electron for the ratio of nuclear charges Z /Z = 3. For b < 1, the equilibrium value of v exists for 0 ≤ w < b/(1 + b) and for 1/(1 + b1/2 ) ≤ w ≤ 1. For b > 1, the equilibrium value of v exists for 0 ≤ w ≤ 1/(1 + b1/2 ) and for b/(1 + b) < w ≤ 1. For b = 1, the equilibrium value of v exists for the entire range of 0 ≤ w ≤ 1. Below we refer to these intervals as the “allowed ranges” of w.

One of the most fundamental theoretical playgrounds for studying charge exchange is the problem of electron terms in the field of two stationary Coulomb centers (TCC) of charges Z and Z separated by a distance R. It presents fascinating atomic physics: the terms can have crossings and quasicrossings. 8]. 8]. 11]. In this situation, the 19 page 19 March 4, 2015 20 9:49 Breaking Paradigms in Atomic. . , of charge exchange) as compared with the absence of such degeneracy. These rich features of the TCC problem also manifest in a different area of physics such as plasma spectroscopy as follows.

The eigenvalues E*, A*, M * correspond to the classical quantities E(w), A(w), M (w) of our circular TCC states, so that s = g[E(w), A(w), M (w)]. 39) where the sign’ stands for the derivative with respect to w. Consequently, in the vicinity of wc we have: ∆s = [(∂g/∂E)E (wc ) + (∂g/∂A)A (wc ) + (∂g/∂M )M (wc )]∆w = (∂g/∂A)A (wc )∆w. So, if it were not for the presence of A and for the fact that A (wc ) = 0, we would have had ∆s = 0 — contrary to the above selection rules. Thus, the classical crossings are intimately connected with the dynamical symmetry of the TCC problem, and the remarkable set of “rules” from Eq.

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Breaking Paradigms in Atomic and Molecular Physics by Eugene Oks


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