000 02879nam a22003738i 4500
001 CR9780511819681
003 UkCbUP
005 20200124160300.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101021s2010||||enk o ||1 0|eng|d
020 _a9780511819681 (ebook)
020 _z9780521191180 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC173.4.T48
_bL543 2010
082 0 0 _a530.12
_222
100 1 _aLieb, Elliott H.,
_eauthor.
245 1 4 _aThe stability of matter in quantum mechanics /
_cElliott H Lieb and Robert Seiringer.
264 1 _aCambridge :
_bCambridge University Press,
_c2010.
300 _a1 online resource (xv, 293 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aIntroduction to elementary quantum mechanics and stability of the first kind -- Many-particle systems and stability of the second kind -- Lieb-Thirring and related inequalities -- Electrostatic inequalities -- An estimation of the indirect part of the Coulomb energy -- Stability of non-relativistic matter -- Stability of relativistic matter -- Magnetic fields and the Pauli operator -- The Dirac operator and the Brown-Ravenhall model -- Quantized electromagnetic fields and stability of matter -- The ionization problem, and the dependence of the energy on N and M separately -- Gravitational stability of white dwarfs and neutron stars -- The thermodynamic limit for Coulomb systems.
520 _aResearch into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, Lieb-Thirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics.
650 0 _aThomas-Fermi theory.
650 0 _aQuantum theory.
650 0 _aMatter
_xProperties.
650 0 _aStructural stability.
700 1 _aSeiringer, Robert,
_eauthor.
776 0 8 _iPrint version:
_z9780521191180
856 4 0 _uhttps://doi.org/10.1017/CBO9780511819681
999 _c520287
_d520285