Lectures on selected topics in statistical mechanics
Author | : D. ter Haar |
Publisher | : |
Total Pages | : 0 |
Release | : 1977 |
Genre | : |
ISBN | : |
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Author | : D. ter Haar |
Publisher | : |
Total Pages | : 0 |
Release | : 1977 |
Genre | : |
ISBN | : |
Author | : D. Ter Haar |
Publisher | : Elsevier |
Total Pages | : 133 |
Release | : 2013-09-03 |
Genre | : Science |
ISBN | : 1483150771 |
Lectures on Selected Topics in Statistical Mechanics is a collection of lectures given at the 1971 Simla Summer School of Statistical Mechanics held in India. The lectures explore a wide range of topics related to statistical mechanics, including occupation number representation; the Green function method; the pair Hamiltonian model of an imperfect Bose gas; fluctuations in a perfect Bose gas; and the equation of state of an imperfect gas. A simple derivation of the Bloch equation is also presented, along with the statistical mechanics of stellar systems. Comprised of eight chapters, this volume begins with a discussion on the occupation number representation by considering some relevant formulae from ensemble theory. Classical petit and grand ensembles are described, together with quanta1 petit and grand ensembles. Subsequent chapters focus on the Green function method in statistical mechanics; the pair Hamiltonian model of the imperfect Bose gas and its solution in the absence of Bose-Einstein condensation using Green function methods and diagrammatic techniques; fluctuations in a perfect Bose gas; the equation of state of an imperfect gas; and a simple derivation of the Bloch equation. Finally, the statistical mechanics of stellar systems and an approach to equilibrium are described. This book will be of interest to physicists.
Author | : D. ter Haar |
Publisher | : |
Total Pages | : 69 |
Release | : 1967 |
Genre | : |
ISBN | : |
Author | : Brian Cowan |
Publisher | : World Scientific |
Total Pages | : 451 |
Release | : 2021-07-23 |
Genre | : Science |
ISBN | : 1786349809 |
Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.
Author | : John Gamble Kirkwood |
Publisher | : |
Total Pages | : 147 |
Release | : 1947 |
Genre | : Statistical mechanics |
ISBN | : |
Author | : Gianfausto Dell'Antonio |
Publisher | : Springer |
Total Pages | : 470 |
Release | : 2015-05-25 |
Genre | : Science |
ISBN | : 9462391181 |
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.
Author | : M. G. Bowler |
Publisher | : Newnes |
Total Pages | : 131 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0080984053 |
Lectures on Statistical Mechanics
Author | : Richard P. Feynman |
Publisher | : Westview Press |
Total Pages | : 372 |
Release | : 1998-03-26 |
Genre | : Science |
ISBN | : 0201360764 |
Physics, rather than mathematics, is the focus in this classic graduate lecture note volume on statistical mechanics and the physics of condensed matter.
Author | : J. G. Kirkwood |
Publisher | : |
Total Pages | : |
Release | : 1947 |
Genre | : |
ISBN | : |
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.