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Yayın The general equation of motion via the special theory of relativity and quantum mechanics(2004) Yarman, Nuh TolgaHerein we present a whole new approach to the derivation of the Newton's Equation of Motion. This, with the implementation of a metric imposed by quantum mechanics, leads to the findings brought up within the frame of the general theory of relativity (such as the precession of the perihelion of the planets, and the deflection of light nearby a star). To the contrary of what had been generally achieved so far, our basis merely consists in supposing that the gravitational field, through the binding process, alters the "rest mass" of an object conveyed in it. In fact, the special theory of relativity already imposes such a change. Next to this fundamental theory, we use the classical Newtonian gravitational attraction, reigning between two static masses. We have previously shown however that the 1/r2 dependency of the gravitational force is also imposed by the special theory of relativity. Our metric is (just like the one used by the general theory of relativity) altered by the gravitational field (in fact, by any field the "measurement unit" in hand interacts with); yet in the present approach, this occurs via quantum mechanics. More specifically, the rest mass of an object in a gravitational field is decreased as much as its binding energy in the field. A mass deficiency conversely, via quantum mechanics yields the stretching of the size of the object in hand, as well as the weakening of its internal energy. Henceforth one does not need the "principle of equivalence" assumed by the general theory of relativity, in order to predict the occurrences dealt with this theory. Thus we start with the following interesting postulate, hi fact nothing else, but the law conservation of energy, though in the broader relativistic sense of the concept of "energy".Yayın An essential approach to the architecture of diatomic molecules: 1.Basic theory(Optical Soc Amer, 2004-11) Yarman, Nuh TolgaWe consider the quantum-mechanical description of a diatomic molecule of electronic mass m(0e), internuclear distance R-0, and total electronic energy E-0e. We apply to it the Born-Oppenheimer approximation, together with the relation E(0e)m(0e)R(0)(2) similar to h(2) (which we established previously), written for the electronic description (with fixed nuclei). Our approach yields an essential relationship for T-0,T- the classical vibration period, at the total electronic energy E-0e; i.e., T-0 = [4pi(2)/(rootn(1)n(2)h)] rootgM(0)m(e) R-0(2). Here, At,0 is the reduced mass of the nuclei; m(e) is the mass of the electron; g is a dimensionless and relativistically invariant coefficient. roughly around unity (this quantity is associated with the particular electronic structure under consideration; thus, it remains practically the same for bonds bearing similar electronic configurations); and n(1) and n(2) are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule in hand: because of quantum defects, they are not integer numbers. The above relationship holds generally, although the quantum numbers n(1) and n(2) need to be refined. This task is undertaken in our next article, yielding a whole new systematization regarding all diatomic molecules.Yayın An essential approach to the architecture of diatomic molecules. 1. Basic theory(2004) Yarman, Nuh TolgaWe consider the quantum mechanical description of a diatomic molecule of "electronic mass" m0e, "internuclear distance" R0, and "total electronic energy" E0e. We apply to it the Born-Oppenheimer approximation, together with the cast E 0em0eR02 ? h2 (we established previously), written for the electronic description (with fixed nuclei). Our approach yields an essential relationship for T0, the classical vibration period, at the total electronic energy E0e, i.e., T0 = [4?2/(?n1n2h)] ?gM0meR02; M0 is the reduced mass of the nuclei; me is the mass of the electron; g is a dimensionless and relativistically invariant coefficient, roughly around unity; this is a quantity associated with just the electronic structure in consideration; thus, it remains practically the same for bonds bearing similar electronic configurations; n1 and n2 are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule in hand; because of quantum defects, they are not integer numbers. The above relationship holds generally, although the quantum numbers n1 and n2 need to be refined. The related task is undertaken in our next article, yielding a whole new systematization regarding all diatomic molecules.
