  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.
