Tolga YARMAN, Prof. Dr.

THE ARCHITECTURE OF DIATOMIC MOLECULES

PART I: THEORY

Tolga Yarman

Işık University

Maslak, Istanbul

March 2003

ABSTRACT

Consider a “real” (i.e. not artificially gedanken) quantum mechanical clock in the rest frame of reference. This can be a molecular, or an atomic, or a nuclear entity, of “characteristic mass” M₀, doing a regular “clock labour”, in a space of “size” R₀, throughout a “unit period time” T₀. In our previous work, we established that, in a “real” wave-like description, if the “characteristic mass” M₀ of the object is multiplied by the arbitrary number , then the size of space R₀, in which this object is installed, shrinks as much, and the total energy E₀ of the object, is increased as much.

This occurrence (were the object in consideration indeed, “real”), yields at once the “quantum mechanical invariance” of the quantity , through either relativistic or non-relativistic quantum mechanical description, whichever is appropriate for the case in hand; interestingly, the quantity  happens to be Lorentz invariant, and strapped to h². Note that primarily, what we do is not a “dimension analysis”. Anyhow, the invariance of  in regards to an overall mass change, would not work, if the wave-like object in hand is not “real”, though of course, there still would be no problem in regards to a dimension analysis.

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UMA - J Physics - T Yarman - 01.pdf