The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb. 4th ed. 2005

種類:

電子ブック

責任表示:

by Elliott H. Lieb ; edited by Walter Thirring

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005

著者名:

• Lieb, Elliott H.
• Thirring, Walter.
• SpringerLink (Online service)

ISBN:

9783540270560 [3540270566]    

注記:

The Stability of Matter: From Atoms to Stars -- Lower bound to the energy of complex atoms -- Improved Lower Bound on the Indirect Coulomb Energy -- Letter to the Editor -- Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle -- Atomic and Molecular Negative Ions -- Bound on the maximum negative ionization of atoms and molecules -- Approximate Neutrality of Large-Z Ions -- Universal nature of van der Waals forces for Coulomb Systems -- Electron density near the nucleus of a large atom -- Proof of a conjecture about atomic and molecular cores related to Scott’s correction -- Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields -- Ground states of large quantum dots in magnetic fields -- Kinetic Energy Bounds and Their Application to the Stability of Matter -- Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities -- On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators -- The Number o
This collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages.

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