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Introduction to the Statistical Physics of Integrable Many-body Systems

2013-05-16 Science
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Release : 2013-05-16
Genre : Science
Kind : eBook
Book Rating : 669/5 ( reviews)

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Book Synopsis Introduction to the Statistical Physics of Integrable Many-body Systems by : Ladislav Šamaj

Download or read book Introduction to the Statistical Physics of Integrable Many-body Systems written by Ladislav Šamaj. This book was released on 2013-05-16. Available in PDF, EPUB and Kindle. Book excerpt: Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of situations to which they can be applied. Beginning with a treatise of nonrelativistic 1D continuum Fermi and Bose quantum gases of identical spinless particles, the book describes the quantum inverse scattering method and the analysis of the related Yang–Baxter equation and integrable quantum Heisenberg models. It also discusses systems within condensed matter physics, the complete solution of the sine-Gordon model and modern trends in the thermodynamic Bethe ansatz. Each chapter concludes with problems and solutions to help consolidate the reader's understanding of the theory and its applications. Basic knowledge of quantum mechanics and equilibrium statistical physics is assumed, making this book suitable for graduate students and researchers in statistical physics, quantum mechanics and mathematical and theoretical physics.

Statistical Physics

2013-09-11 Science
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Release : 2013-09-11
Genre : Science
Kind : eBook
Book Rating : 101/5 ( reviews)

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Book Synopsis Statistical Physics by : A. Isihara

Download or read book Statistical Physics written by A. Isihara. This book was released on 2013-09-11. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics provides an introduction to the basic principles of statistical mechanics. Statistical mechanics is one of the fundamental branches of theoretical physics and chemistry, and deals with many systems such as gases, liquids, solids, and even molecules which have many atoms. The book consists of three parts. Part I gives the principles, with elementary applications to noninteracting systems. It begins with kinetic theory and discusses classical and quantum systems in equilibrium and nonequilibrium. In Part II, classical statistical mechanics is developed for interacting systems in equilibrium and nonequilibrium. Finally, in Part III, quantum statistics is presented to an extent which enables the reader to proceed to advanced many-body theories. This book is written for a one-year graduate course in statistical mechanics or a half-year course followed by a half-year course on related subjects, such as special topics and applications or elementary many-body theories. Efforts are made such that discussions of each subject start with an elementary level and end at an advanced level.

Introduction to Statistical Physics

2015 Science
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Release : 2015
Genre : Science
Kind : eBook
Book Rating : 781/5 ( reviews)

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Book Synopsis Introduction to Statistical Physics by : João Paulo Casquilho

Download or read book Introduction to Statistical Physics written by João Paulo Casquilho. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous and comprehensive, this textbook introduces undergraduate students to simulation methods in statistical physics. The book covers a number of topics, including the thermodynamics of magnetic and electric systems; the quantum-mechanical basis of magnetism; ferrimagnetism, antiferromagnetism, spin waves and magnons; liquid crystals as a non-ideal system of technological relevance; and diffusion in an external potential. It also covers hot topics such as cosmic microwave background, magnetic cooling and Bose-Einstein condensation. The book provides an elementary introduction to simulation methods through algorithms in pseudocode for random walks, the 2D Ising model, and a model liquid crystal. Any formalism is kept simple and derivations are worked out in detail to ensure the material is accessible to students from subjects other than physics.

Modern Physics

2023-02-19 Science
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Release : 2023-02-19
Genre : Science
Kind : eBook
Book Rating : 454/5 ( reviews)

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Book Synopsis Modern Physics by : Luca Salasnich

Download or read book Modern Physics written by Luca Salasnich. This book was released on 2023-02-19. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to statistical mechanics, special relativity, and quantum physics. It is based on the lecture notes prepared for the one-semester course of "Quantum Physics" belonging to the Bachelor of Science in Material Sciences at the University of Padova. The first chapter briefly reviews the ideas of classical statistical mechanics introduced by James Clerk Maxwell, Ludwig Boltzmann, Willard Gibbs, and others. The second chapter is devoted to the special relativity of Albert Einstein. In the third chapter, it is historically analyzed the quantization of light due to Max Planck and Albert Einstein, while the fourth chapter discusses the Niels Bohr quantization of the energy levels and the electromagnetic transitions. The fifth chapter investigates the Schrodinger equation, which was obtained by Erwin Schrodinger from the idea of Louis De Broglie to associate to each particle a quantum wavelength. Chapter Six describes the basic axioms of quantum mechanics, which were formulated in the seminal books of Paul Dirac and John von Neumann. In chapter seven, there are several important application of quantum mechanics: the quantum particle in a box, the quantum particle in the harmonic potential, the quantum tunneling, the stationary perturbation theory, and the time-dependent perturbation theory. Chapter Eight is devoted to the study of quantum atomic physics with special emphasis on the spin of the electron, which needs the Dirac equation for a rigorous theoretical justification. In the ninth chapter, it is explained the quantum mechanics of many identical particles at zero temperature, while in Chapter Ten the discussion is extended to many quantum particles at finite temperature by introducing and using the quantum statistical mechanics. The four appendices on Dirac delta function, complex numbers, Fourier transform, and differential equations are a useful mathematical aid for the reader.

Statistical Physics

2007-05-30 Science
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Release : 2007-05-30
Genre : Science
Kind : eBook
Book Rating : 063/5 ( reviews)

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Book Synopsis Statistical Physics by : Daijiro Yoshioka

Download or read book Statistical Physics written by Daijiro Yoshioka. This book was released on 2007-05-30. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of the basics of statistical physics. The first part explains the essence of statistical physics and how it provides a bridge between microscopic and macroscopic phenomena, allowing one to derive quantities such as entropy. Here the author avoids going into details such as Liouville’s theorem or the ergodic theorem, which are difficult for beginners and unnecessary for the actual application of the statistical mechanics. In the second part, statistical mechanics is applied to various systems which, although they look different, share the same mathematical structure. In this way readers can deepen their understanding of statistical physics. The book also features applications to quantum dynamics, thermodynamics, the Ising model and the statistical dynamics of free spins.

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