Spin-polarized quantum systems: Internal energies through a lower-bound formula and the quantum theorem of corresponding states

An extension of de Boer's quantum theorem of corresponding states, which yields a relation between the minimum number of atoms required in a cluster so that it behaves like the bulk system $N_{min}$ and de Boer's quantum parameter ${\Lambda }^{*}$, is realizable when Hall-Post-Stenschke lower-bound energies are matched with the experimental internal energies of the condensed phase of spin-polarized quantum systems and rare-gas atoms. Through it is found evidence that both forms of spin-polarized deuterium have bound ground states, that spin-polarized helium has an internal energy of -2.1 K per atom, and that $N_{min}$ ranges from 6 to 19.