TY - BOOK ID - 208275 TI - The stability of matter : from atoms to stars : selecta of Elliott H. Lieb AU - Lieb, Elliott H. AU - Thirring, Walter E. PY - 2005 SN - 1280460997 9786610460991 3540270566 354022212X PB - Berlin ; New York : Springer, DB - UniCat KW - Thomas-Fermi theory. KW - Matter KW - Functional analysis. KW - Mathematical physics. KW - Properties. KW - Physical mathematics KW - Physics KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - Physical properties of matter KW - Properties of matter KW - Mechanics KW - Diffusion KW - Fermi-Thomas model KW - Fermi-Thomas theory KW - Thomas-Fermi atom model KW - Thomas-Fermi-Dirac method KW - Thomas-Fermi-Dirac model KW - Thomas-Fermi method KW - Thomas-Fermi model KW - Atomic structure KW - Nuclear models KW - Mathematics KW - Quantum theory. KW - Global analysis (Mathematics). KW - Mathematical optimization. KW - Elementary Particles, Quantum Field Theory. KW - Mathematical Methods in Physics. KW - Condensed Matter Physics. KW - Quantum Physics. KW - Analysis. KW - Calculus of Variations and Optimal Control; Optimization. KW - Optimization (Mathematics) KW - Optimization techniques KW - Optimization theory KW - Systems optimization KW - Mathematical analysis KW - Maxima and minima KW - Operations research KW - Simulation methods KW - System analysis KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Quantum dynamics KW - Quantum mechanics KW - Quantum physics KW - Thermodynamics KW - Elementary particles (Physics). KW - Quantum field theory. KW - Physics. KW - Condensed matter. KW - Quantum physics. KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Calculus of variations. KW - Isoperimetrical problems KW - Variations, Calculus of KW - 517.1 Mathematical analysis KW - Condensed materials KW - Condensed media KW - Condensed phase KW - Materials, Condensed KW - Media, Condensed KW - Phase, Condensed KW - Liquids KW - Solids KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - Relativistic quantum field theory KW - Field theory (Physics) KW - Quantum theory KW - Relativity (Physics) KW - Elementary particles (Physics) KW - High energy physics KW - Nuclear particles KW - Nucleons KW - Nuclear physics UR - https://www.unicat.be/uniCat?func=search&query=sysid:208275 AB - This collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages. ER -