By Eugene Oks
The e-book provides counterintuitive theoretical effects, which have been released in respected refereed journals by means of the book's writer and by means of others. those basic effects holiday numerous paradigms of quantum mechanics and supply replacement interpretations of a few vital phenomena in atomic and molecular physics. First, it truly is proven that singular options of the Schrödinger and Dirac equations do not have been consistently 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 kingdom of hydrogenic atoms. moment, it really is established that cost trade will not be an inherently quantal phenomenon, yet particularly has classical roots. This result's utilized to the matter of continuum reducing in plasmas. 3rd, it's proven that the main hard challenge of classical physics that resulted in the advance of quantum mechanics the failure to provide an explanation for the soundness of atoms will be really solved inside of a classical formalism from first rules: the autumn of atomic electrons at the nucleus as a result of the radiative lack of the strength, which classically unavoidable, doesn't happen 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 established that during two-electron atoms or ions, the spin spin interplay, which used to be often regarded as an unimportant correction to the binding strength, really makes an important contribution to the binding power if the singular nature of this interplay is correctly taken into consideration.
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Extra info for Breaking Paradigms in Atomic and Molecular Physics
The upper and middle branches of the scaled eﬀective internuclear potential v (deﬁned by Eqs. 61)) versus the scaled internuclear distance r for Z = 2 and Z = 3 at the absence of the magnetic ﬁeld. Fig. 8. The same as in Fig. 3 (note that BM < 0). associated with the middle or lower branches of the EPE, is not really a molecule, but only a quasimolecule because the molecular orbital is antibonding. 47] for the molecular hydrogen ion H+ 2 . The upper branch in Fig. 7. We now “turn on” the magnetic ﬁeld.
Eﬀects of a Static Magnetic Field: Stabilization of Diatomic Rydberg Quasimolecules We consider here CRS of the ZeZ -system in the presence of a uniform magnetic ﬁeld B parallel to the internuclear axis. 42]. The classical Hamiltonian is given by (in atomic units): H(ρ, z) = M 2 /(2ρ2 ) − Z/(ρ2 + z 2 )1/2 − Z /[ρ2 + (z − R)2 ]1/2 + ΩM + Ω2 ρ2 /2, Ω ≡ B/(2c). 794 × 106 B(G). 47) page 34 March 4, 2015 9:49 Breaking Paradigms in Atomic. . 9in x 6in b1984-ch03 Classical Description of Crossings of Energy Terms and of Charge Exchange 35 where E is the energy.
Therefore, while the scaled quantity h takes a discrete set of values, the energy E takes a continuous set of values (as it should be in classical physics). We now “turn on” the magnetic ﬁeld. , at a moderate value of the magnetic ﬁeld. We note that ω > 0 corresponds to BM > 0, while ω < 0 corresponds to page 37 March 4, 2015 38 9:49 Breaking Paradigms in Atomic. . 9in x 6in b1984-ch03 Breaking Paradigms in Atomic and Molecular Physics BM < 0; remember B and M are the z-projections of the magnetic ﬁeld and of the angular momentum, respectively, and that the Oz axis is directed from the charge Z toward the charge Z .