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The Stability of Matter in Quantum Mechanics.

Author: Elliott H Lieb; Robert Seiringer
Publisher: Cambridge : Cambridge University Press, 2010.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: Elliott H Lieb; Robert Seiringer
ISBN: 0521191181 9780521191180
OCLC Number: 759701532
Description: 293 p.
Contents: Preface; 1. Prologue; 2. Introduction to elementary quantum mechanics and stability of the first kind; 3. Many-particle systems and stability of the second kind; 4. Lieb-Thirring and related inequalities; 5. Electrostatic inequalities; 6. An estimation of the indirect part of the Coulomb energy; 7. Stability of non-relativistic matter; 8. Stability of relativistic matter; 9. Magnetic fields and the Pauli operator; 10. The Dirac operator and the Brown-Ravenhall model; 11. Quantized electromagnetic fields and stability of matter; 12. The ionization problem, and the dependence of the energy on N and separately; 13. Gravitational stability of white dwarfs and neutron stars; 14. The thermodynamic limit for Coulomb systems; References; Index.

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Description of research on the subject for researchers, and for advanced undergraduate and graduate courses in mathematical physics.  Read more...

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'This is an outstanding book which will be used both for research and for teaching. It will make an excellent text for a graduate course in either a physics or mathematics department. Physics Read more...

 
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