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

Elliott Lieb, Horng Tzer Yau

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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 GW2/3 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.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages443-470
Number of pages28
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Lieb, E., & Yau, H. T. (2005). The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 443-470). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_32