2011/04/08 by G. Van Hooydonk, Van Hooydonk, G.
Earth and Planetary Sciences · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #Marine and environmental studies
paper · pdf · doi:10.48550/arxiv.1104.1581
openalex publication_date 2011/04/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We review harmonic oscillator theory for closed, stable quantum systems. The H2 potential energy curve (PEC) of Mexican hat-type, calculated with a confined Kratzer oscillator, is better than the Rydberg-Klein-Rees (RKR) H2 PEC. Compared with QM, the theory of chemical bonding is simplified, since a confined Kratzer oscillator gives the long sought for universal function, once called the Holy Grail of Molecular Spectroscopy. This is validated with HF, I2, N2 and O2 PECs. We quantify the entanglement of spatially separated H2 quantum states, which gives a braid view. The equal probability for H2, originating either from HA+HB or HB+HA, is quantified with a Gauss probability density function. At the Bohr scale, confined harmonic oscillators behave properly at all extremes of bound two-nucleon quantum systems and are likely to be useful also at the nuclear scale.