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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505 | 8 | |a 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 | |
520 | |a 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 | ||
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Datensatz im Suchindex
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any_adam_object | |
author | Lieb, Elliott H. 1932- |
author_GND | (DE-588)11899655X |
author_facet | Lieb, Elliott H. 1932- |
author_role | aut |
author_sort | Lieb, Elliott H. 1932- |
author_variant | e h l eh ehl |
building | Verbundindex |
bvnumber | BV043943818 |
classification_rvk | UK 1000 UM 1500 |
collection | ZDB-20-CBO |
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 |
ctrlnum | (ZDB-20-CBO)CR9780511819681 (OCoLC)967778508 (DE-599)BVBBV043943818 |
dewey-full | 530.12 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.12 |
dewey-search | 530.12 |
dewey-sort | 3530.12 |
dewey-tens | 530 - Physics |
discipline | Physik |
doi_str_mv | 10.1017/CBO9780511819681 |
format | Electronic eBook |
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id | DE-604.BV043943818 |
illustrated | Not Illustrated |
indexdate | 2024-12-24T05:34:04Z |
institution | BVB |
isbn | 9780511819681 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029352789 |
oclc_num | 967778508 |
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owner | DE-12 DE-92 DE-19 DE-BY-UBM |
owner_facet | DE-12 DE-92 DE-19 DE-BY-UBM |
physical | 1 online resource (xv, 293 pages) |
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publishDate | 2010 |
publishDateSearch | 2010 |
publishDateSort | 2010 |
publisher | Cambridge University Press |
record_format | marc |
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 2\p DE-604 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 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 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 |
work_keys_str_mv | AT liebelliotth thestabilityofmatterinquantummechanics AT seiringerrobert thestabilityofmatterinquantummechanics |