The Stability of Matter in Quantum Mechanics

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

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Author: Elliott H. Lieb

Publisher: Cambridge University Press

ISBN: 9780521191180

Category: Science

Page: 293

View: 978

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

Quantum Physics of Matter

Quantum Physics of Matter explores the way in which quantum physics determines the properties of materials.

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Author: Alan Durrant

Publisher: CRC Press

ISBN: 0750307218

Category: Science

Page: 231

View: 804

Quantum Physics of Matter explores the way in which quantum physics determines the properties of materials. The quantum physics of solids, for example, dictates whether they are good insulators, conductors, semiconductors, or even superconductors. At a deeper level, it explores how the quantum physics of nuclei and elementary particles determines the stability of matter and hence the range of substances that came into existence through the big bang and the evolution of stars.

The Stability of Matter From Atoms to Stars

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.

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Author: Elliott H. Lieb

Publisher: Springer Science & Business Media

ISBN: 354022212X

Category: Science

Page: 932

View: 282

Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.

MATHEMATICAL CONCEPTS OF QUANTUM MECHANICS

N. Ovchinnikov, Quantum mechanical tunneling with dissipation. ... E. Lenzmann
and M. Lewin, Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars
and white dwarfs. ... E.H. Lieb, Stability of Matter: From Atoms to Stars. Bull.

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Author: STEPHEN J. GUSTAFSON

Publisher:

ISBN: 9783030595623

Category: Mathematics

Page:

View: 907

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.

The World According to Quantum Mechanics

As the theory takes shape, it is applied to various experimental arrangements. Many of these are central to the discussion in the final part, which aims at making epistemological and ontological sense of the theory.

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Author: Ulrich Mohrhoff

Publisher: World Scientific

ISBN: 9789814293372

Category: Science

Page: 298

View: 783

An invaluable supplement to standard textbooks on quantum mechanics, this unique introduction to the general theoretical framework of contemporary physics focuses on conceptual, epistemological, and ontological issues. The theory is developed by pursuing the question: what does it take to have material objects that neither collapse nor explode as soon as they are formed? The stability of matter thus emerges as the chief reason why the laws of physics have the particular form that they do.The first of the book's three parts familiarizes the reader with the basics by discussing crucial experiments, a brief historical survey, and by following Feynman's route to the Schr”dinger equation. The necessary mathematics is introduced along the way, to the point that all relevant theoretical concepts can be adequately grasped. Part II gets down to the nitty-gritty. As the theory takes shape, it is applied to various experimental arrangements. Many of these are central to the discussion in the final part, which aims at making epistemological and ontological sense of the theory. Pivotal to this task is an understanding of the special status that quantum mechanics attributes to measurements ? without dragging in ?the consciousness of the observer.? Key to this understanding is a rigorous definition of ?macroscopic? which, while rarely even attempted, is conveniently provided in this book.

Quantum Mechanics

The text is self-contained, covering the necessary background on atomic and molecular structure in addition to the traditional topics.

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Author: Eugene D. Commins

Publisher: Cambridge University Press

ISBN: 9781316157077

Category: Science

Page:

View: 792

Eugene D. Commins takes an experimentalist's approach to quantum mechanics, preferring to use concrete physical explanations over formal, abstract descriptions to address the needs and interests of a diverse group of students. Keeping physics at the foreground and explaining difficult concepts in straightforward language, Commins examines the many modern developments in quantum physics, including Bell's inequalities, locality, photon polarization correlations, the stability of matter, Casimir forces, geometric phases, Aharonov–Bohm and Aharonov–Casher effects, magnetic monopoles, neutrino oscillations, neutron interferometry, the Higgs mechanism, and the electroweak standard model. The text is self-contained, covering the necessary background on atomic and molecular structure in addition to the traditional topics. Developed from the author's well-regarded course notes for his popular first-year graduate course at the University of California, Berkeley, instruction is supported by over 160 challenging problems to illustrate concepts and provide students with ample opportunity to test their knowledge and understanding.

Entropy and the Quantum

They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics.

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Author: Robert Sims

Publisher: American Mathematical Soc.

ISBN: 9780821852477

Category: Science

Page: 202

View: 567

These lecture notes provide a pedagogical introduction to quantum mechanics and to some of the mathematics that has been motivated by this field. They are a product of the school ``Entropy and the Quantum'', which took place in Tucson, Arizona, in 2009. They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics. Robert Seiringer and Eric Carlen review certain recent developments in stability of matter and analytic inequalities, respectively. Bruno Nachtergaele and Robert Sims review locality results for quantum systems, and Christopher King deals with additivity conjectures and quantum information theory. The final article, by Christian Hainzl, describes applications of analysis to the Shandrasekhar limit of stellar masses.

Quantum Physics

The book discusses the basic ideas of quantum physics and explains its power in predicting the behavior of matter on the atomic scale, including the emission of light by atoms (spectra) and the operation of lasers.

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Author: J Manners

Publisher: CRC Press

ISBN: 075030720X

Category: Science

Page: 408

View: 502

Quantum Physics: An Introduction guides you through the profound revolution in scientific thinking that overthrew classical physics in favor of quantum physics. The book discusses the basic ideas of quantum physics and explains its power in predicting the behavior of matter on the atomic scale, including the emission of light by atoms (spectra) and the operation of lasers. It also elucidates why the interpretation of quantum physics is still the subject of intense debate among scientists.

Encyclopedia of Mathematical Physics

Introduction The theorem on stability of matter is one of the most celebrated
results in mathematical physics . ... One of the major triumphs of the theory of
quantum mechanics is the explanation it gives of the stability of the hydrogen
atom ( and ...

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Author: Jean-Pierre Françoise

Publisher: Academic Press

ISBN: 0125126603

Category: Science

Page: 3500

View: 194

The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy. For more information, pricing options and availability visit www.info.sciencedirect.com. First comprehensive interdisciplinary coverage Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields Written by an international group of experts Contains several undergraduate-level introductory articles to facilitate acquisition of new expertis Thematic index and extensive cross-referencing to provide easy access and quick search functionality Also available online with active linking

Studies in Mathematical Physics Research

This book presents leading-edge research in this fast-moving field.

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Author: Charles V. Benton

Publisher: Nova Publishers

ISBN: 1594540276

Category: Science

Page: 245

View: 111

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

Current Developments in Mathematics

The stability of matter and quantum electrodynamics Elliott H . Lieb ABSTRACT .
... mathematics for understanding the full implications of the quantum -
mechanical many - body problem and why the material world appears to be as
stable as it ...

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Author:

Publisher:

ISBN: UOM:39015068665531

Category: Mathematics

Page:

View: 468

Soviet Physics Uspekhi

Bohr said that paradoxes of the quantum theory and the puzzling aspects he
understood quite well that little was yet known about the associated with the
stability of matter will come further and questions and that he was helpless in
attempting ...

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Author:

Publisher:

ISBN: UOM:39015019020265

Category: Physics

Page:

View: 949

Learning Directory

Matter , Quantum Fabric Matter , Quantum Theory Matter , Science Theory -
Matter , Science Theory Matter , Stability Matter , Stability Matter , State Matter ,
State Matter , State . Matter , State Matter , State Matter , State , Concept Matter ,
State ...

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Author:

Publisher:

ISBN: UOM:39015036929084

Category: Teaching

Page:

View: 852

McGraw Hill Encyclopedia of Science Technology

See HILBERT SPACE ; NONRELATIVISTIC QUANTUM THEORY ; QUANTUM
MECHANICS . Stability of matter . A problem analogous to that of the stability of
the solar system arose in the quantum mechanics of bulk matter : whether a solid
 ...

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Author:

Publisher:

ISBN: UOM:39076001782932

Category: Science

Page:

View: 595

A comprehensive, 20-volume reference encyclopedia on science and technology.

Group Theoretical Foundations of Quantum Mechanics

Transformations and coherence lead to quantum mechanics , relativistic quantum
mechanics , and field theory . But none of these is rich enough to allow a
complete theory of matter . Perhaps the search for such a theory should be
guided by ...

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Author: R. Mirman

Publisher: Nova Science Pub Incorporated

ISBN: UOM:39015038024389

Category: Science

Page: 263

View: 419

Group Theoretical Foundations of Quantum Mechanics

Quantum Theory

The Hamiltonian under consideration for the stability matter is taken to be the N-
electron one N∑ p2 H = i Z j e2 ZiZj i=1 2m + N∑ i<j e2 |xi − xj| − N∑ i=1 k∑ j=
1 |xi − Rj| + k∑ i<j e2 |Ri − Rj| (14.1) where m denotes the mass of the electron
 ...

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Author: E.B. Manoukian

Publisher: Springer Science & Business Media

ISBN: 9781402041907

Category: Science

Page: 1011

View: 375

This graduate-level textbook on quantum theory covers important recent developments and most aspects of the theory with detailed presentations. It is also a reference and research work which provides background for research in this discipline. In addition to traditional topics, coverage includes: Wigner's Theorem of symmetry transformations, Bose-Fermi oscillators, coherent states, the non-relativistic Lamb shift, Ramsey oscillatory fields methods, the AB effect, Schrödinger's cat and quantum decoherence, quantum teleportation and cryptography, quantum dynamics of the Stern-Gerlach effect.

Chinese Journal of Physics

While these techniques could , in principle , have been discovered at the
beginning of quantum mechanics , they were ... the binding energy per particle )
of matter ; ( c ) the thermodynamic stability of matter ( the existence of the free
energy per ...

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Author:

Publisher:

ISBN: STANFORD:36105000576400

Category: Physics

Page:

View: 148

The Feynman Lectures on Physics Quantum mechanics

The exclusion principle is also responsible for the stability of matter on a large
scale . We explained earlier that the individual atoms in matter did not collapse
because of the uncertainty principle ; but this does not explain why it is that two ...

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Author: Richard Phillips Feynman

Publisher:

ISBN: UCLA:L0065458499

Category: Physics

Page:

View: 766

Process Studies

One would hope that the stability of matter would be explained as a solution to
such nonlinear equations , meaning that ... QUANTUM MECHANICS Quantum
mechanics is in the same situation as relativity , and perhaps even a worse one .

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Author:

Publisher:

ISBN: UCAL:B3646467

Category: Process philosophy

Page:

View: 602

Quantum Mechanics

In particular , through the Pauli exclusion principle for fermions , together with the
principle of complete indistinguishability of elementary particles , quantum theory
underlies both the stability of ordinary matter and the periodic table of the ...

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Author: Robert J. Russell

Publisher: University of Notre Dame Press

ISBN: UOM:39015056493086

Category: Science

Page: 345

View: 909

Quantum Mechanics, a collection of fifteen essays, explores the creative interaction among quantum physics, philosophy, and theology. This fine collection presents the results of the fifth international research conference co-sponsored by the Vatican Observatory, Rome, and the Center for Theology and the Natural Sciences, Berkeley. The overarching goal of these conferences is to support the engagement of constructive theology with the natural sciences and to investigate the philosophical and theological elements in ongoing theoretical research in the natural sciences. In the first section of this collection, contributors examine scientific and historical context. Section two features essays covering a wide range of philosophical interpretations of quantum mechanics. The final set of essays explores the theological implications of quantum theory. Abner Shimony, Raymond Y. Chiao, Michael Berry, Ernan McMullin, William R. Stoeger, S.J., James T. Cushing, Jeremy Butterfield, Michael Redhead, Chris Clarke, John Polkinghorne, Michael Heller, Philip Clayton, Thomas F. Tracy, George F.R. Ellis, and Robert John Russell all contributed essays to this volume.