A Brief Introduction to Classical, Statistical, and Quantum Mechanics
Author | : Oliver Bühler |
Publisher | : American Mathematical Soc. |
Total Pages | : 178 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9780821883532 |
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Author | : Oliver Bühler |
Publisher | : American Mathematical Soc. |
Total Pages | : 178 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9780821883532 |
Author | : Carlo Heissenberg |
Publisher | : Cambridge University Press |
Total Pages | : 383 |
Release | : 2022-01-20 |
Genre | : Science |
ISBN | : 1108844626 |
Provides a detailed introduction to classical and quantum statistical physics, including modern applications within current research.
Author | : R. Jancel |
Publisher | : Elsevier |
Total Pages | : 441 |
Release | : 2013-10-22 |
Genre | : Science |
ISBN | : 1483186261 |
Foundations of Classical and Quantum Statistical Mechanics details the theoretical foundation the supports the concepts in classical and quantum statistical mechanics. The title discusses the various problems set by the theoretical justification of statistical mechanics methods. The text first covers the the ergodic theory in classical statistical mechanics, and then proceeds to tackling quantum mechanical ensembles. Next, the selection discusses the the ergodic theorem in quantum statistical mechanics and probability quantum ergodic theorems. The selection also details H-theorems and kinetic equations in classical and quantum statistical mechanics. The book will be of great interest to students, researchers, and practitioners of physics, chemistry, and engineering.
Author | : N. N. Bogolubov, Jr. |
Publisher | : World Scientific |
Total Pages | : 439 |
Release | : 2010 |
Genre | : Science |
ISBN | : 9814295191 |
Introduction to Quantum Statistical Mechanics (2nd Edition) may be used as an advanced textbook by graduate students, even ambitious undergraduates in physics. It is also suitable for non experts in physics who wish to have an overview of some of the classic and fundamental quantum models in the subject. The explanation in the book is detailed enough to capture the interest of the reader, and complete enough to provide the necessary background material needed to dwell further into the subject and explore the research literature.
Author | : Remi Joel Hakim |
Publisher | : World Scientific |
Total Pages | : 567 |
Release | : 2011-03-28 |
Genre | : Science |
ISBN | : 9814464120 |
This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics — to which a major part is devoted — will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
Author | : Mark S Swanson |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 185 |
Release | : 2018-05-10 |
Genre | : Science |
ISBN | : 1681747162 |
Assuming a background in basic classical physics, multivariable calculus, and differential equations, A Concise Introduction to Quantum Mechanics provides a self-contained presentation of the mathematics and physics of quantum mechanics. The relevant aspects of classical mechanics and electrodynamics are reviewed, and the basic concepts of wave-particle duality are developed as a logical outgrowth of experiments involving blackbody radiation, the photoelectric effect, and electron diffraction. The Copenhagen interpretation of the wave function and its relation to the particle probability density is presented in conjunction with Fourier analysis and its generalization to function spaces. These concepts are combined to analyze the system consisting of a particle confi ned to a box, developing the probabilistic interpretation of observations and their associated expectation values. The Schrödinger equation is then derived by using these results and demanding both Galilean invariance of the probability density and Newtonian energy-momentum relations. The general properties of the Schrödinger equation and its solutions are analyzed, and the theory of observables is developed along with the associated Heisenberg uncertainty principle. Basic applications of wave mechanics are made to free wave packet spreading, barrier penetration, the simple harmonic oscillator, the Hydrogen atom, and an electric charge in a uniform magnetic fi eld. In addition, Dirac notation, elements of Hilbert space theory, operator techniques, and matrix algebra are presented and used to analyze coherent states, the linear potential, two state oscillations, and electron diffraction. Applications are made to photon and electron spin and the addition of angular momentum, and direct product multiparticle states are used to formulate both the Pauli exclusion principle and quantum decoherence. The book concludes with an introduction to the rotation group and the general properties of angular momentum.
Author | : Richard Chace Tolman |
Publisher | : Courier Corporation |
Total Pages | : 700 |
Release | : 1979-01-01 |
Genre | : Science |
ISBN | : 9780486638966 |
This is the definitive treatise on the fundamentals of statistical mechanics. A concise exposition of classical statistical mechanics is followed by a thorough elucidation of quantum statistical mechanics: postulates, theorems, statistical ensembles, changes in quantum mechanical systems with time, and more. The final two chapters discuss applications of statistical mechanics to thermodynamic behavior. 1930 edition.
Author | : Henry A. Bent |
Publisher | : Oxford University Press, USA |
Total Pages | : 452 |
Release | : 1965 |
Genre | : Statistical thermodynamics |
ISBN | : 9780195008289 |
Author | : Henrik Smith |
Publisher | : World Scientific |
Total Pages | : 304 |
Release | : 1991 |
Genre | : Science |
ISBN | : 9789810204754 |
The book is an introduction to quantum mechanics at a level suitable for the second year in a European university (junior or senior year in an American college). The matrix formulation of quantum mechanics is emphasized throughout, and the student is introduced to Dirac notation from the start. A number of major examples illustrate the workings of quantum mechanics. Several of these examples are taken from solid state physics, with the purpose of showing that quantum mechanics forms the common basis for understanding atoms, molecules and condensed matter. The book contains an introductory chapter which puts the concepts of quantum mechanics into a historical framework. The solid-state applications discussed in this text include the quantum Hall effect, spin waves, quantum wells and energy bands. Other examples feature the two-dimensional harmonic oscillator, coherent states, two-electron atoms, the ammonia molecule and the chemical bond. A large number of homework problems are included.
Author | : Robert H. Swendsen |
Publisher | : Oxford University Press |
Total Pages | : 422 |
Release | : 2012-03 |
Genre | : Mathematics |
ISBN | : 0199646945 |
This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.