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 rese...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2010.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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"--Provided by publisher "Despite the great success of quantum mechanics in explaining details of the structure of atoms, molecules (including the complicated molecules beloved of organic chemists and the pharmaceutical industry, and so essential to life) and macroscopic objects like transistors, it took 41 years before the most fundamental question of all was resolved: Why doesn't the collection of negatively charged electrons and positively charged nuclei, which are the basic constituents of the theory, implode into a minuscule mass of amorphous matter thousands of times denser than the material normally seen in our world? It is this stability question that will occupy us in this book. After four decades of development of this subject, during which most of the basic questions have gradually been answered, it seems appropriate to present a thorough review of the material at this time"--Provided by publisher |
| Beschreibung: | 1 online resource (xv, 293 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511819681 0511819684 9780511658181 0511658184 0521191181 9780521191180 9780511656873 0511656874 9786612395376 6612395370 1107188652 9781107188655 0511656327 9780511656323 0511655479 9780511655470 |
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| 245 | 1 | 4 | |a The stability of matter in quantum mechanics / |c Elliott H Lieb and Robert Seiringer. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2010. | ||
| 300 | |a 1 online resource (xv, 293 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |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 -- 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"--Provided by publisher | ||
| 520 | |a "Despite the great success of quantum mechanics in explaining details of the structure of atoms, molecules (including the complicated molecules beloved of organic chemists and the pharmaceutical industry, and so essential to life) and macroscopic objects like transistors, it took 41 years before the most fundamental question of all was resolved: Why doesn't the collection of negatively charged electrons and positively charged nuclei, which are the basic constituents of the theory, implode into a minuscule mass of amorphous matter thousands of times denser than the material normally seen in our world? It is this stability question that will occupy us in this book. After four decades of development of this subject, during which most of the basic questions have gradually been answered, it seems appropriate to present a thorough review of the material at this time"--Provided by publisher | ||
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| adam_text | |
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| author | Lieb, Elliott H. |
| author2 | Seiringer, Robert |
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| classification_rvk | UM 1500 |
| collection | ZDB-4-EBA |
| 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 -- 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 |
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| dewey-search | 530.12 |
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| discipline | Physik |
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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. 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| id | ZDB-4-EBA-ocn667042791 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:32Z |
| institution | BVB |
| isbn | 9780511819681 0511819684 9780511658181 0511658184 0521191181 9780521191180 9780511656873 0511656874 9786612395376 6612395370 1107188652 9781107188655 0511656327 9780511656323 0511655479 9780511655470 |
| language | English |
| oclc_num | 667042791 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 293 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
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| publisher | Cambridge University Press, |
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| spelling | Lieb, Elliott H. http://id.loc.gov/authorities/names/n90635114 The stability of matter in quantum mechanics / Elliott H Lieb and Robert Seiringer. Cambridge, UK ; New York : Cambridge University Press, 2010. 1 online resource (xv, 293 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. 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 -- 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"--Provided by publisher "Despite the great success of quantum mechanics in explaining details of the structure of atoms, molecules (including the complicated molecules beloved of organic chemists and the pharmaceutical industry, and so essential to life) and macroscopic objects like transistors, it took 41 years before the most fundamental question of all was resolved: Why doesn't the collection of negatively charged electrons and positively charged nuclei, which are the basic constituents of the theory, implode into a minuscule mass of amorphous matter thousands of times denser than the material normally seen in our world? It is this stability question that will occupy us in this book. After four decades of development of this subject, during which most of the basic questions have gradually been answered, it seems appropriate to present a thorough review of the material at this time"--Provided by publisher English. Thomas-Fermi theory. http://id.loc.gov/authorities/subjects/sh85134929 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Matter Properties. http://id.loc.gov/authorities/subjects/sh85082249 Structural stability. http://id.loc.gov/authorities/subjects/sh85129206 Modèle de Thomas-Fermi. Théorie quantique. Matière Propriétés. Constructions Stabilité. structural stability. aat SCIENCE Physics Quantum Theory. bisacsh Matter Properties fast Quantum theory fast Structural stability fast Thomas-Fermi theory fast Stabilität gnd http://d-nb.info/gnd/4056693-6 Thomas-Fermi-Modell gnd http://d-nb.info/gnd/4185321-0 Materie gnd http://d-nb.info/gnd/4037940-1 Vielteilchensystem gnd http://d-nb.info/gnd/4063491-7 Quantenelektrodynamik gnd http://d-nb.info/gnd/4047982-1 Elektrostatik gnd http://d-nb.info/gnd/4151975-9 Seiringer, Robert. http://id.loc.gov/authorities/names/n2009047827 has work: The stability of matter in quantum mechanics (Text) https://id.oclc.org/worldcat/entity/E39PCGdVCCrvtkyb4DpfKWYkjC https://id.oclc.org/worldcat/ontology/hasWork Print version: Lieb, Elliott H. Stability of matter in quantum mechanics. Cambridge, UK ; New York : Cambridge University Press, 2010 9780521191180 (DLC) 2009031810 (OCoLC)429816927 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=304418 Volltext |
| spellingShingle | Lieb, Elliott H. 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 -- 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. Thomas-Fermi theory. http://id.loc.gov/authorities/subjects/sh85134929 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Matter Properties. http://id.loc.gov/authorities/subjects/sh85082249 Structural stability. http://id.loc.gov/authorities/subjects/sh85129206 Modèle de Thomas-Fermi. Théorie quantique. Matière Propriétés. Constructions Stabilité. structural stability. aat SCIENCE Physics Quantum Theory. bisacsh Matter Properties fast Quantum theory fast Structural stability fast Thomas-Fermi theory fast Stabilität gnd http://d-nb.info/gnd/4056693-6 Thomas-Fermi-Modell gnd http://d-nb.info/gnd/4185321-0 Materie gnd http://d-nb.info/gnd/4037940-1 Vielteilchensystem gnd http://d-nb.info/gnd/4063491-7 Quantenelektrodynamik gnd http://d-nb.info/gnd/4047982-1 Elektrostatik gnd http://d-nb.info/gnd/4151975-9 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85134929 http://id.loc.gov/authorities/subjects/sh85109469 http://id.loc.gov/authorities/subjects/sh85082249 http://id.loc.gov/authorities/subjects/sh85129206 http://d-nb.info/gnd/4056693-6 http://d-nb.info/gnd/4185321-0 http://d-nb.info/gnd/4037940-1 http://d-nb.info/gnd/4063491-7 http://d-nb.info/gnd/4047982-1 http://d-nb.info/gnd/4151975-9 |
| 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 | stability of matter in quantum mechanics |
| topic | Thomas-Fermi theory. http://id.loc.gov/authorities/subjects/sh85134929 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Matter Properties. http://id.loc.gov/authorities/subjects/sh85082249 Structural stability. http://id.loc.gov/authorities/subjects/sh85129206 Modèle de Thomas-Fermi. Théorie quantique. Matière Propriétés. Constructions Stabilité. structural stability. aat SCIENCE Physics Quantum Theory. bisacsh Matter Properties fast Quantum theory fast Structural stability fast Thomas-Fermi theory fast Stabilität gnd http://d-nb.info/gnd/4056693-6 Thomas-Fermi-Modell gnd http://d-nb.info/gnd/4185321-0 Materie gnd http://d-nb.info/gnd/4037940-1 Vielteilchensystem gnd http://d-nb.info/gnd/4063491-7 Quantenelektrodynamik gnd http://d-nb.info/gnd/4047982-1 Elektrostatik gnd http://d-nb.info/gnd/4151975-9 |
| topic_facet | Thomas-Fermi theory. Quantum theory. Matter Properties. Structural stability. Modèle de Thomas-Fermi. Théorie quantique. Matière Propriétés. Constructions Stabilité. structural stability. SCIENCE Physics Quantum Theory. Matter Properties Quantum theory Structural stability Thomas-Fermi theory Stabilität Thomas-Fermi-Modell Materie Vielteilchensystem Quantenelektrodynamik Elektrostatik |
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