Ivo Sachs

Elements of Statistical Mechanics (eBook, PDF)

With an Introduction to Quantum Field Theory and Numerical Simulation

• Format: PDF

Produktbeschreibung

This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 11. Mai 2006
• Englisch
• ISBN-13: 9780511166570
• Artikelnr.: 38184307

Autorenporträt

I. Sachs is Professor of Physics at the Department of Physics, Ludwig-Maximilians-Universität (LMU), München, Germany.
S. Sen is the Deputy Director of the Hamilton Mathematics Institute Trinity College, Dublin and coauthor of Nash Sen, Topology and Geometry for Physicists (ISBN 0125140819)
J. C. Sexton is Director of High Performance Computing and also Associate Professor at the Department of Pure and Applied Mathematics at Trinity College, Dublin.

Inhaltsangabe

Preface; List of fundamental physical constraints; 1. The problem; 2. Statistical mechanics; 3. Variations of a theme; 4. Handling interactions; 5. Monte Carlo integration; 6. Numerical molecular dynamics; 7. Quantum statistical mechanics; 8. Astrophysics; 9. Non-relativistic quantum field theory; 10. Superfluidity; 11. Path integrals; 12. A second look; 13. Phase transitions and the renormalization group; Index.

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Preface
List of fundamental physical constraints
1. The problem
2. Statistical mechanics
3. Variations of a theme
4. Handling interactions
5. Monte Carlo integration
6. Numerical molecular dynamics
7. Quantum statistical mechanics
8. Astrophysics
9. Non-relativistic quantum field theory
10. Superfluidity
11. Path integrals
12. A second look
13. Phase transitions and the renormalization group
Index.

Rezensionen

"It is a well-written book, providing general information and stimulating discussions on different and relevant topics in many-particle physical systems. In this sense it constitutes a short and introductory guide to many subjects which may be of interest for undergraduate and postgraduate students in physics, a purpose clearly established in the preface."
Marco Corgini, Mathematical Reviews