Abstract
Monotonicity properties of the ground state energy of bosonic atoms as established in a recent paper by M.K.H. Kiessling [J. Stat. Phys. 139:1063 (2009)] are studied. Symmetry and scaling arguments lead to a more direct proof of a slightly stronger result of this monotonicity and the behavior of the ground state energy as a function of the number of bosonic electrons. Furthermore, invoking appropriate lower and upper bounds on two-electron systems, the stability of the bosonics He− ion is rigorously demonstrated.
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Hogreve, H. A Remark on the Ground State Energy of Bosonic Atoms. J Stat Phys 144, 904–908 (2011). https://doi.org/10.1007/s10955-011-0265-0
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DOI: https://doi.org/10.1007/s10955-011-0265-0