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We review harmonic oscillator theory for closed, stable quantum systems. TheH2 potential energy curve (PEC) of Mexican hat-type, calculated with a confinedKratzer oscillator, is better than the Rydberg-Klein-Rees (RKR) H2 PEC.Compared with QM, the theory of chemical bonding is simplified, since aconfined Kratzer oscillator gives the long sought for universal function, oncecalled the Holy Grail of Molecular Spectroscopy. This is validated with HF, I2,N2 and O2 PECs. We quantify the entanglement of spatially separated H2 quantumstates, which gives a braid view. The equal probability for H2, originatingeither from HA+HB or HB+HA, is quantified with a Gauss probability densityfunction. At the Bohr scale, confined harmonic oscillators behave properly atall extremes of bound two-nucleon quantum systems and are likely to be usefulalso at the nuclear scale.

H2: entanglement, probability density function, confined Kratzer  oscillator, universal potential and (Mexican hat- or bell-type) potential  energy curves