The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics

Details The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cmaph.112..147l&link_type=abstract

Communications in Mathematical Physics, Volume 112, Issue 1, pp.147-174

Mathematics

Mathematical Physics

46

Scientific paper

Starting with a “relativistic” Schrödinger Hamiltonian for neutral gravitating particles, we prove that as the particle number N→∞ and the gravitation constant G→0 we obtain the well known semiclassical theory for the ground state of stars. For fermions, the correct limit is to fix GN 2/3 and the Chandrasekhar formula is obtained. For bosons the correct limit is to fix GN and a Hartree type equation is obtained. In the fermion case we also prove that the semiclassical equation has a unique solution — a fact which had not been established previously.

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