You are here: Home / Shop / Product Detail Page |

## The Stability of Matter in Quantum Mechanics (Hardback)"This 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." — From the back cover ## $40.49 |

### Need More Info?

Please contact us if you've got questions about this product.## Condition

**LIKE NEW:** This book is in excellent, like-new condition.

## Description

From the back cover: “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.”

**BRIEF 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*M*Separately - 13. Gravitational Stability of White Dwarfs and Neutron Stars
- 14. The Thermodynamic Limit for Coulomb Systems
- List of Symbols
- Bibliography
- Index

## Details

- SKU:
- 1971
- Subject:
- Physics
- Author:
- Lieb, Elliott H. and Robert Seiringer
- Publisher:
- Cambridge University Press
- Publish Date:
- 2010
- Format:
- Hardback
- Weight (pounds):
- 1.52
- Dimensions (W”xL”xH”):
- 7″x10″x0.8″
- ISBN-13:
- 9780521191180
- ISBN-10:
- 0521191181
- Grade Level:
- College

## Related Products

### Products related to "The Stability of Matter in Quantum Mechanics (Hardback)"

- Views:

#### Princeton Landmarks in Mathematics and Physics: The Classical Groups: Their Invariants and Representations (Softcover)

$35.99

Originally published in 1939, this second edition of Hermann Weyl's renowned volume on the classical groups in mathematics has been updated by Princeton University Press and is recommended for the shelves of advanced students, teaching faculty, and professional physicists and mathematicians.

#### Interdisciplinary Applied Mathematics: Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics (Hardback)

$21.49

"Remarkable progress has recently been made in the application of quantum trajectories as the computational tool for solving quantum mechanical problems. This is the first book to present these developments in the broader context of the hydrodynamical formulation of quantum dynamics." — From the back cover

#### Mathematics and Its Applications: Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Hardback)

$68.32

"This is a book of ideas. Most of them arise out of my fascination with the division algebras and their tantalizing potential for a deep connection to physics....Inevitably many of these mathematical ideas will be shown to be intimately linked to the design of our physical world." — Geoffrey M. Dixon, Author

#### Springer Undergraduate Mathematics Series: Introduction to Lie Algebras (Softcover)

$27.99

"Lie groups and lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right." — From the back cover

#### Texts in Applied Mathematics 41: Integral Transforms and Their Applications, Third Edition (Hardback)

$57.79

"This book is an introduction to and a reference for the applications of integral transforms to a wide variety of common mathematical problems. Emphasis is placed on the development of techniques and on the connection between properties of transforms and the kinds of problems for which they provide tools." — From the back cover

#### Introduction to Relativistic Quantum Chemistry (Hardback)

$55.99

"This book provides an introduction to the essentials of relativistic effects in quantum chemistry, and a reference work that collects all the major developments in this field. It is designed for the graduate student and the computational chemist with a good background in nonrelativisitic theory." — From the back cover

#### Topology and Geometry for Physicists (Softcover)

$6.59

"Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics." — From the back cover

#### Texts and Monographs in Physics: Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Hardback)

$61.95

First of two volumes, this text introduces the fundamental tools for describing the statistical properties of radiation from driven atoms and electromagnetic cavities and introduces the theory of Fokker-Planck equations and stochastic differential equations.

#### Texts and Monographs in Physics: Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Hardback) [LN1965]

$64.49

First of two volumes, this text introduces the fundamental tools for describing the statistical properties of radiation from driven atoms and electromagnetic cavities and introduces the theory of Fokker-Planck equations and stochastic differential equations.

#### Universitext: The Calculus of Variations (Hardback)

$52.95

"This book is an introductory account of the calculus of variations suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering. The mathematical background assumed of the reader is a course in multivariable calculus, and some familiarity with the elements of real analysis and ordinary differential equations." — From the back cover

#### Interdisciplinary Applied Mathematics: Systems and Control: Nonholonomic Mechanics and Control (Hardback)

$47.29

"This book is intended for graduate and advanced undergraduate students in mathematics, physics and engineering who wish to learn this subject and for researchers in the area who want to enhance their techniques." — From the back cover

#### Cambridge Texts in Applied Mathematics: Scaling (Softcover)

$40.59

This text is based on courses taught to undergraduate and graduate students, but can also be used for self-study by biologists, chemists, physicists, astronomers, engineers and geoscientists.

#### Oxford Science Publications: The Quantum Theory of Light, Third Edition (Softcover)

$47.29

"The book is written as a textbook, with the treatment as a whole appropriate for graduate or postgraduate students, while earlier chapters are also suitable for final-year undergraduates. Over 100 problems help to reinforce the understanding of the material presented." — From the back cover

#### Introduction to The Theory of Distributions, Second Edition (Hardback)

$99.95

This book is "... a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss." — Review of the first edition in

*Bulletin of the London Mathematical Society*#### Applied Mathematical Sciences 82: Linear Integral Equations, Second Edition (Hardback)

$115.25

"in the the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me. Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book." — Rainer Kress, Author, in the Preface to the Second Edition

#### Many-Bodied Theory Exposed! : Propagator Description of Quantum Mechanics in Many-Body Systems, 2nd Edition (Hardback)

$113.99

"This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory." — From the back cover

#### Classical Mechanics: Theory and Mathematical Modeling (Hardcover)

$49.95

"Classical mechanics is a chief example of the scientific method organizing a 'complex' collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics, and Hamilton-Jacobi theory, but at the same time features unique examples—such as the spinning top including friction and gyroscopic compass—seldom appearing in this context. In addition, variational principles like Lagrangian and Hamiltonian dynamics are treated in great detail." — From the back cover

#### Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry (Hardback)

$58.59

"Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications." — From the back cover

#### Texts in Applied Mathematics 41: Integral Transforms and Their Applications, Third Edition (Hardback) [3222]

$54.39

"This book is an introduction to and a reference for the applications of integral transforms to a wide variety of common mathematical problems. Emphasis is placed on the development of techniques and on the connection between properties of transforms and the kinds of problems for which they provide tools." — From the back cover

#### The Theory of Open Quantum Systems (Softcover)

$48.95

"This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems." — From the back cover