Monotonicity of quantum ground state energies: Bosonic atoms and stars

Details Monotonicity of quantum ground state energies: Bosonic atoms and stars Monotonicity of quantum ground state energies: Bosonic atoms and stars

2010-01-24

arxiv.org/abs/1001.4280v1

J.Statist.Phys.137:1063-1078,2009

Physics

Mathematical Physics

Scientific paper

10.1007/s10955-009-9843-9

The N-dependence of the non-relativistic bosonic ground state energy is studied for quantum N-body systems with either Coulomb or Newton interactions. The Coulomb systems are "bosonic atoms," with their nucleus fixed, and the Newton systems are "bosonic stars". In either case there exists some third order polynomial in N such that the ratio of the ground state energy to the respective polynomial grows monotonically in N. Some applications of these new monotonicity results are discussed.

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