The stability of matter in quantum mechanics

Research 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 o...

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1. Verfasser: Lieb, Elliott H. 1932- (VerfasserIn)
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Veröffentlicht: Cambridge Cambridge University Press 2010
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Datensatz im Suchindex

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author Lieb, Elliott H. 1932-
author_GND (DE-588)11899655X
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author_sort Lieb, Elliott H. 1932-
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contents Introduction 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
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dewey-ones 530 - Physics
dewey-raw 530.12
dewey-search 530.12
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doi_str_mv 10.1017/CBO9780511819681
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spelling Lieb, Elliott H. 1932- Verfasser (DE-588)11899655X aut
The stability of matter in quantum mechanics Elliott H Lieb and Robert Seiringer
Cambridge Cambridge University Press 2010
1 online resource (xv, 293 pages)
txt rdacontent
c rdamedia
cr rdacarrier
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Introduction 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
Research 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
Quantentheorie
Thomas-Fermi theory
Quantum theory
Matter / Properties
Structural stability
Quantenmechanik (DE-588)4047989-4 gnd rswk-swf
Materie (DE-588)4037940-1 gnd rswk-swf
Thomas-Fermi-Modell (DE-588)4185321-0 gnd rswk-swf
Stabilität (DE-588)4056693-6 gnd rswk-swf
Quantenmechanik (DE-588)4047989-4 s
Materie (DE-588)4037940-1 s
Stabilität (DE-588)4056693-6 s
1\p DE-604
Thomas-Fermi-Modell (DE-588)4185321-0 s
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Seiringer, Robert Sonstige oth
Erscheint auch als Druck-Ausgabe 978-0-521-19118-0
https://doi.org/10.1017/CBO9780511819681 Verlag URL des Erstveröffentlichers Volltext
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2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle Lieb, Elliott H. 1932-
The stability of matter in quantum mechanics
Introduction 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
Quantentheorie
Thomas-Fermi theory
Quantum theory
Matter / Properties
Structural stability
Quantenmechanik (DE-588)4047989-4 gnd
Materie (DE-588)4037940-1 gnd
Thomas-Fermi-Modell (DE-588)4185321-0 gnd
Stabilität (DE-588)4056693-6 gnd
subject_GND (DE-588)4047989-4
(DE-588)4037940-1
(DE-588)4185321-0
(DE-588)4056693-6
title The stability of matter in quantum mechanics
title_auth The stability of matter in quantum mechanics
title_exact_search The stability of matter in quantum mechanics
title_full The stability of matter in quantum mechanics Elliott H Lieb and Robert Seiringer
title_fullStr The stability of matter in quantum mechanics Elliott H Lieb and Robert Seiringer
title_full_unstemmed The stability of matter in quantum mechanics Elliott H Lieb and Robert Seiringer
title_short The stability of matter in quantum mechanics
title_sort the stability of matter in quantum mechanics
topic Quantentheorie
Thomas-Fermi theory
Quantum theory
Matter / Properties
Structural stability
Quantenmechanik (DE-588)4047989-4 gnd
Materie (DE-588)4037940-1 gnd
Thomas-Fermi-Modell (DE-588)4185321-0 gnd
Stabilität (DE-588)4056693-6 gnd
topic_facet Quantentheorie
Thomas-Fermi theory
Quantum theory
Matter / Properties
Structural stability
Quantenmechanik
Materie
Thomas-Fermi-Modell
Stabilität
url https://doi.org/10.1017/CBO9780511819681
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