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Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
Page : 791 pages
File Size : 50,9 Mb
Release : 2013-12-14
Category : Science
ISBN : 9783662043608
Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
Page : 677 pages
File Size : 43,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662034361
The first edition of "The Stability of Matter: From Atoms to Stars" was sold out after a time unusually short for a selecta collection and we thought it ap propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo Together with Elliott Lieb and Jan Philip Solovej it was eventually worked out that one has to distinguish 5 regionso If one takes as a dimensionless measure of the magnetic field strength B the ratio Larmor radius/Bohr radius one can compare it with N "' Z and for each of the domains 4 3 (i) B « N 1 , 4 3 (ii) B "' N 1 , 4 3 3 (iii) N 1« B « N , 3 (iv) B "' N , 3 (v) B » N a different version ofmagnetic Thomas-Fermi theory becomes exact in the limit N --+ ooo In two dimensions and a confining potential ("quantum dots") the situation is somewhat simpler, one has to distinguish only (i) B « N, (ii) B "'N,
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
Page : 913 pages
File Size : 46,7 Mb
Release : 2006-02-14
Category : Science
ISBN : 9783540270560
Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
Page : 565 pages
File Size : 41,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662027257
With this book, Elliott Lieb joins his peers Hermann Weyl and Chen Ning Yang. Weyl's Selecta was published in 1956, Yang's Selected Papers in 1983. Lieb's "Selecta", like its predecessors, gives us the essence of a great mathema tical physicist concentrated into one convenient volume. Weyl, Yang and Lieb have much more in common than the accident of this manner of publication. They have in common a style and a tradition. Each of them is master of a for midable mathematical technique. Each of them uses hard mathematical ana lysis to reach an understanding of physical laws. Each of them enriches both physics and mathematics by finding new mathematical depths in the description of familiar physical processes. The central theme of Weyl's work in mathematical physics was the idea of symmetry, linking physical invariance-principles with the mathematics of group-theory. One of Yang's central themes is the idea of a gauge field, linking physical interactions with the mathematics of fibre-bundles. The central theme of Lieb's papers collected in this book is the classical Thomas-Fermi model of an atom, linking the physical stability of matter with the mathematics of func tional analysis. In all three cases, a rather simple physical idea provided the starting-point for building a grand and beautiful mathematical structure. Weyl, Yang and Lieb were not content with merely solving a problem. Each of them was concerned with understanding the deep mathematical roots out of which physical phenomena grow.
Author : Elliott H. Lieb
Publisher : Springer
Page : 676 pages
File Size : 55,6 Mb
Release : 2014-03-12
Category : Science
ISBN : 3662034379
The first edition of "The Stability of Matter: From Atoms to Stars" was sold out after a time unusually short for a selecta collection and we thought it ap propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo Together with Elliott Lieb and Jan Philip Solovej it was eventually worked out that one has to distinguish 5 regionso If one takes as a dimensionless measure of the magnetic field strength B the ratio Larmor radius/Bohr radius one can compare it with N "' Z and for each of the domains 4 3 (i) B « N 1 , 4 3 (ii) B "' N 1 , 4 3 3 (iii) N 1« B « N , 3 (iv) B "' N , 3 (v) B » N a different version ofmagnetic Thomas-Fermi theory becomes exact in the limit N --+ ooo In two dimensions and a confining potential ("quantum dots") the situation is somewhat simpler, one has to distinguish only (i) B « N, (ii) B "'N,
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
Page : 828 pages
File Size : 50,6 Mb
Release : 2001-10-05
Category : Science
ISBN : 9783540420835
Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.
Author : Elliott H. Lieb,Robert Seiringer
Publisher : Cambridge University Press
Page : 310 pages
File Size : 50,8 Mb
Release : 2010
Category : Science
ISBN : 9780521191180
Description of research on the subject for researchers, and for advanced undergraduate and graduate courses in mathematical physics.
Author : National Research Council,Division on Engineering and Physical Sciences,Board on Physics and Astronomy,Committee on Nuclear Physics
Publisher : National Academies Press
Page : 222 pages
File Size : 44,7 Mb
Release : 1999-03-31
Category : Science
ISBN : 9780309173667
Dramatic progress has been made in all branches of physics since the National Research Council's 1986 decadal survey of the field. The Physics in a New Era series explores these advances and looks ahead to future goals. The series includes assessments of the major subfields and reports on several smaller subfields, and preparation has begun on an overview volume on the unity of physics, its relationships to other fields, and its contributions to national needs. Nuclear Physics is the latest volume of the series. The book describes current activity in understanding nuclear structure and symmetries, the behavior of matter at extreme densities, the role of nuclear physics in astrophysics and cosmology, and the instrumentation and facilities used by the field. It makes recommendations on the resources needed for experimental and theoretical advances in the coming decade.
Author : Martin H. Krieger
Publisher : University of Chicago Press
Page : 372 pages
File Size : 54,8 Mb
Release : 1998-04-28
Category : Mathematics
ISBN : 0226453057
Krieger's lucid discussions will help students of physics and applied mathematics appreciate the larger physical issues behind the mathematical details of modern physics. Historians and philosophers of science will gain deeper insights into how theoretical physicists do science, while technically advanced general readers will get a rare, behind-the-scenes glimpse into the world of modern physics.
Author : Heinz Karl Heinrich Siedentop
Publisher : World Scientific
Page : 303 pages
File Size : 51,5 Mb
Release : 2013
Category : Science
ISBN : 9789814460156
This volume is based on lectures given during the program Complex Quantum Systems held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many body methods originating from quantum information, and OCo the most complex OCo semirelativistic quantum electrodynamics.These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems.
Author : Rafael Benguria,Eduardo Friedman,Marius Mantoiu
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 48,7 Mb
Release : 2012-06-30
Category : Mathematics
ISBN : 9783034804141
This volume contains surveys as well as research articles broadly centered on spectral analysis. Topics range from spectral continuity for magnetic and pseudodifferential operators to localization in random media, from the stability of matter to properties of Aharonov-Bohm and Quantum Hall Hamiltonians, from waveguides and resonances to supersymmetric models and dissipative fermion systems. This is the first of a series of volumes reporting every two years on recent progress in spectral theory.
Author : Herbert Spohn
Publisher : Cambridge University Press
Page : 379 pages
File Size : 50,8 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009402279
Author : National Research Council,Division of Behavioral and Social Sciences and Education,Board on Science Education,Committee on a Conceptual Framework for New K-12 Science Education Standards
Publisher : National Academies Press
Page : 400 pages
File Size : 42,9 Mb
Release : 2012-02-28
Category : Education
ISBN : 9780309214452
Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments.
Author : Carlos Villegas-Blas
Publisher : American Mathematical Soc.
Page : 161 pages
File Size : 52,6 Mb
Release : 2008-12-02
Category : Mathematics
ISBN : 9780821840641
This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autonoma de Mexico, Cuernavaca in May 2005. The main goal of the articles is to link the basic knowledge of a graduate student in Mathematics with three current research topics in Mathematical Physics: Isoperimetric inequalities for eigenvalues of the Laplace Operator, Random Schrodinger Operators, and Stability of Matter, respectively. These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics.
Author : José C. Mour?o
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 50,7 Mb
Release : 2007
Category : Mathematical physics
ISBN : 9780821842706
This book includes papers presented at the Young Researchers Symposium of the 14th International Congress on Mathematical Physics, held in July 2003, in Lisbon, Portugal. The goal of thes book is to illustrate various promising areas of mathematical physics in a way accessible to researchers at the beginning of their career. Two of the three laureates of the Henri Poincare Prizes, Huzihiro Araki and Elliott Lieb, also contributed to this volume. The book provides a good survey of some active areas of research in modern mathematical physics.