Bohr model and dimensional scaling analysis of atoms and molecules
It is generally believed that the old quantum theory, as presented by Niels Bohr in 1913, fails
when applied to few electron systems, such as the H2 molecule. Here we review recent
developments of the Bohr model that connect it with dimensional scaling procedures
adapted from quantum chromodynamics. This approach treats electrons as point particles
whose positions are determined by optimizing an algebraic energy function derived from the
large-dimension limit of the Schrödinger equation. The calculations required are simple yet …
when applied to few electron systems, such as the H2 molecule. Here we review recent
developments of the Bohr model that connect it with dimensional scaling procedures
adapted from quantum chromodynamics. This approach treats electrons as point particles
whose positions are determined by optimizing an algebraic energy function derived from the
large-dimension limit of the Schrödinger equation. The calculations required are simple yet …
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