عنوان

The stability of matter in quantum mechanics /

0511655479

0511656327

0511656874

0511658184

0511819684

0521191181

1107188652

6612395370

9780511655470

9780511656323

9780511656873

9780511658181

9780511819681

9780521191180

9781107188655

9786612395376

9780521191180

b779251

The stability of matter in quantum mechanics /

[Book]

Elliott H Lieb and Robert Seiringer.

New York :

Cambridge University Press,

2010.

1 online resource (xv, 293 pages) :

illustrations

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.

0

"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.

"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.

MIL

239537

Stability of matter in quantum mechanics.

9780521191180

Matter-- Properties.

Quantum theory.

Structural stability.

Thomas-Fermi theory.

Elektrostatik

Materie

Matter-- Properties.

Quantenelektrodynamik

Quantum theory.

SCIENCE-- Physics-- Quantum Theory.

Stabilität

Structural stability.

Thomas-Fermi theory.

Thomas-Fermi-Modell

Vielteilchensystem

SCI-- 057000

Lieb, Elliott H.

Seiringer, Robert.

20201206182419.0

pn

[Book]

Y