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Statistical Mechanics: Problems with solutions

statistical mechanics problems and solutions (pdf)

Author Konstantin K Likharev Published July 2019

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Essential Advanced Physics is a series comprising four parts: Classical Mechanics , Classical Electrodynamics , Quantum Mechanics and Statistical Mechanics . Each part consists of two volumes, Lecture Notes and Problems with Solutions , further supplemented by an additional collection of test problems and solutions available to qualifying university instructors. This volume, Statistical Mechanics: Problems with solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture Notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For reader's convenience, the problem assignments are reproduced in this volume.

Copyright © Konstantin K Likharev 2019 Online ISBN: 978-0-7503-1419-0 • Print ISBN: 978-0-7503-1420-6

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Front matter

Review of thermodynamics.

Konstantin K Likharev

Principles of physical statistics

Ideal and not-so-ideal gases, phase transitions, fluctuations, elements of kinetics, back matter, d o i.

https://doi.org/10.1088/2053-2563/aaf504

Published July 2019

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About the author

Konstantin K Likharev received his PhD from the Lomonosov Moscow State University, USSR in 1969, and a habilitation degree of Doctor of Sciences from USSR's High Attestation Committee in 1979. From 1969 to 1990 Dr Likharev was a Staff Scientist of Moscow State University. In 1991 he assumed a Professorship at Stony Brook University (Distinguished Professor since 2002, John S. Toll Professor since 2017). During his research career, Dr Likharev worked in the fields of nonlinear classical and dissipative quantum dynamics, and solid-state physics and electronics, notably including superconductor electronics and nanoelectronics—most recently, with applications to neuromorphic networks. Dr Likharev has authored more than 250 original publications, over 80 review papers and book chapters, two monographs and several patents. Dr Likharev is a Fellow of the APS and IEEE.

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Statistical mechanics i: statistical mechanics of particles, course description.

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Solved Problems in Quantum and Statistical Mechanics

  • Michele Cini 0 ,
  • Francesco Fucito 1 ,
  • Mauro Sbragaglia 2

Department of Physics, University of Rome, Tor Vergata, Italy Laboratori Nazionali Frascati, INFN, Italy

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Table of contents (12 chapters)

Front matter, theoretical background, summary of quantum and statistical mechanics.

Michele Cini, Francesco Fucito, Mauro Sbragaglia

Quantum Mechanics — Problems

Formalism of quantum mechanics and one dimensional problems, angular momentum and spin, central force field, perturbation theory and wkb method, statistical mechanics — problems, thermodynamics and microcanonical ensemble, canonical ensemble, grand canonical ensemble, kinetic physics, bose-einstein gases, fermi-dirac gases, fluctuations and complements, back matter.

This textbook is the result of many years of teaching quantum and statistical mechanics, drawing on exercises and exam papers used on courses taught by the authors. The subjects of the exercises have been carefully selected to cover all the material which is most needed by students. 

Each exercise is carefully solved in full details, explaining the theory behind the solution with particular care for those issues that students often find difficult, or which are often neglected in other books on the subject. The exercises in this book never require extensive calculations  but tend to be somewhat unusual  and force the solver  to think about the problem starting from first principles, rather than by analogy with some previously solved exercise.

  • Approximations
  • Fluctuations
  • Kinetic theory
  • Quantum Mechanics

Department of Physics, University of Rome, Tor Vergata, Italy

Laboratori nazionali frascati, infn, italy.

Book Title : Solved Problems in Quantum and Statistical Mechanics

Authors : Michele Cini, Francesco Fucito, Mauro Sbragaglia

Series Title : UNITEXT

DOI : https://doi.org/10.1007/978-88-470-2315-4

Publisher : Springer Milano

eBook Packages : Physics and Astronomy , Physics and Astronomy (R0)

Copyright Information : Springer-Verlag Italia S.r.l., part of Springer Nature 2012

Softcover ISBN : 978-88-470-2314-7 Published: 30 January 2012

eBook ISBN : 978-88-470-2315-4 Published: 30 March 2012

Series ISSN : 2038-5714

Series E-ISSN : 2532-3318

Edition Number : 1

Number of Pages : VIII, 399

Topics : Quantum Physics , Thermodynamics , Complex Systems , Statistical Physics and Dynamical Systems

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  6. Statistical Mechanics: Problems with solutions

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  1. PDF A Crash Course in Statistical Mechanics

    December 27, 2018 Abstract friendly introduction to statistical mechanics, geared towards covering the powerful methods physicists have developed for working in the subject. 1 Statistical Mechanics 1.1 Entropy Statistical Mechanics is a branch of physics that pervades all other branches.

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  3. (PDF) Instructor's (Solution) Manual Statistical Mechanics Third

    Instructor's Manual Containing Solutions to Over 280 Problems Selected from Statistical Mechanics Third Edition By R. K. Pathria and Paul D. Beale AMSTERDAM · BOSTON · HEIDELBERG · LONDON NEW YORK · OXFORD · PARIS · SAN DIEGO SAN FRANCISCO · SINGAPORE · SYDNEY · TOKYO Academic Press is an imprint of Elsevier fAcademic Press is a...

  4. PDF Statistical Mechanics

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  5. PDF Solutions Manual for Introduction to Statistical Physics (draft)

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    with the model solutions of the exercise problems published under the title . Statistical Mechanics: Problems with solutions. IOPP, Essential Advanced Physics - Volume 8, ISBN 978--7503-1420-6 However, by now this online version of the lecture notes and the problem solutions available from the author, have been better corrected About the author:

  7. Statistical Mechanics: Problems with solutions

    This volume, Statistical Mechanics: Problems with solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture Notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For reader's convenience, the problem assignments are reproduced in this volume.

  8. PDF LECTURE NOTES ON STATISTICAL MECHANICS

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    1. The Fundamentals of Statistical Mechanics 1 1.1 Introduction 1 1.2 The Microcanonical Ensemble 2 1.2.1 Entropy and the Second Law of Thermodynamics 5 1.2.2 Temperature 8 1.2.3 An Example: The Two State System 11 1.2.4 Pressure, Volume and the First Law of Thermodynamics 14 1.2.5 Ludwig Boltzmann (1844-1906) 16 1.3 The Canonical Ensemble 17

  10. Statistical Mechanics: Problems with solutions

    This volume, Statistical Mechanics: Problems with solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture Notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For reader's convenience, the problem assignments are reproduced in this volume.

  11. (PDF) Problems & Solutions for Statistical Physics of Particles

    The topics are -Recap of thermodynamics -Thermodynamic of phase transitions -recap of theory of ensamble -Statistical mechanics and phase transition -Models (Ising in particular) -Role of symmetry (symmetry breaking), dimension and range of interaction -Mean field theory (and Vann der Walls) -Landau Theory -Ginzburg criterium -Scaling theory (Wi...

  12. Lecture Notes

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  13. 13

    Before we consider the mathematics of this problem, let us begin by describing some essential phenomenology. The behavior upon heating a pure liquid at constant pressure P is familiar: its temperature increases until the boiling temperature is reached, at which Pvap ( Tb) = P. The liquid vaporizes entirely at Tb and then the temperature ...

  14. PDF MSCPH504 M. Sc. I SEMESTER Statistical Mechanics

    The statistical mechanics started with the Maxwell's kinetic theory of gases. To be specific, the first milestone in statistical physics is J. C. Maxwell's statistical law for distribution of molecular velocities proposed in 1859, which will be discussed in detail in Unit 3. This work inspired L. Boltzmannwho dedicated all his life in ...

  15. Assignments

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  16. Solved Problems in Thermodynamics and Statistical Physics

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  17. Problems on Statistical Mechanics

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  18. Statistical Mechanics 3rd Edition Textbook Solutions

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  19. Problem Sets

    Starter Problems Starter Problem Set with Solutions (PDF) Workshop Problem Set 1: Taylor Series, Probability, and Combinatorics (PDF) Workshop Problem Set 2: Mean-Field Ising Model (PDF) Workshop Problem Set 3: Simulating a Spin System (PDF) Assignments Problem Set 1 (PDF) Problem Set 1 Solutions (PDF) Problem Set 2 (PDF)

  20. Statistical Mechanics I: Statistical Mechanics of Particles

    Statistical Mechanics is a probabilistic approach to equilibrium properties of large numbers of degrees of freedom. In this two-semester course, basic principles are examined. Topics include: Thermodynamics, probability theory, kinetic theory, classical statistical mechanics, interacting systems, quantum statistical mechanics, and identical particles.

  21. Solved Problems in Quantum and Statistical Mechanics

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  22. StatisticalMechanicsMcquarrieSolutions Full PDF ; frebe.chulavistaca

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  23. STATISTICAL MECHANICS PROBLEMS & SOLUTIONS Unknown Binding

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  24. Statistical mechanics, an advanced course with problems and solutions

    Statistical mechanics, an advanced course with problems and solutions by Kubo, Ryōgo, 1920- Publication date 1965 Topics Statistical mechanics Publisher Amsterdam : North-Holland Pub. Co. ; New York : Inerscience Publishers Collection inlibrary; printdisabled; trent_university; internetarchivebooks Contributor Internet Archive Language