000 | 02879nam a22003738i 4500 | ||
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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 |
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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. |
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300 |
_a1 online resource (xv, 293 pages) : _bdigital, PDF file(s). |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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. |
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650 | 0 | _aStructural stability. | |
700 | 1 |
_aSeiringer, Robert, _eauthor. |
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776 | 0 | 8 |
_iPrint version: _z9780521191180 |
856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511819681 |
999 |
_c520287 _d520285 |