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Quantum Statistical Mechanics
 
 
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Quantum Statistical Mechanics [Hardcover]

William C. Schieve (Author), Lawrence P. Horwitz (Author)

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Book Description

April 27, 2009 0521841461 978-0521841467 1
The book provides a contemporary understanding of irreversibility, particularly in quantum systems. It explains entropy production in quantum kinetic theory and in the master equation formulation of non-equilibrium statistical mechanics. The first half of the book focuses on the foundations of non-equilibrium statistical mechanics with emphasis on quantum mechanics. The second half of the book contains alternative views of quantum statistical mechanics, and topics of current interest for advanced graduate level study and research. Unique to textbooks on this subject, this book contains a discussion of the fundamental Gleason theorem. Quantum entanglements are treated in application to quantum computation and the difficulties arising from decoherence. The relativistic generalization of the Boltzmann equation is derived, and modern transport applications to reservoir ballistic transport are developed.

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Book Description

Many-body theory stands at the foundation of modern quantum statistical mechanics and it is introduced here to graduates in physics, chemistry, engineering and biology. The book focuses on the foundations of non-equilibrium statistical mechanics, and provides alternative views of quantum statistical mechanics.

About the Author

W. C. Schieve is Professor Emeritus in the Physics Department and Center for Complex Quantum Systems at the University of Texas, Austin. His research interests lie in non-equilibrium statistical mechanics and its applications to areas such as quantum optics, relativistic statistical mechanics, dynamical models in biophysics, and chaos theory.

L. P. Horwitz is Professor of Physics Emeritus in the School of Physics at Tel Aviv University. He is also Professor of Physics at Bar Ilan University, and Research Director in Theoretical Physics at Ariel University.

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Inside This Book (learn more)
First Sentence:
Statistical mechanics is concerned with the construction of methods for computing the expected value of observables important for characterizing the properties of physical systems, generally containing many degrees of freedom. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quantum noise, statistical master equation, ideal gas condensation, covariant statistical mechanics, tetradic representation, harmonic oscillator trap, survival amplitude, semigroup law, decay scattering, generalized master equation, diagonal singularity, quantum kinetic equations, reduced resolvent, super operators, phase space distribution functions, commutation laws, pole approximation, translation representation, pointer basis, semigroup evolution, black hole thermodynamics, reduced evolution, lower half plane, critical indices, complete positivity
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Van Hove, Cambridge University Press, Quantum Langevin, Prentice Hall, Oxford University Press, Academic Press, Statistical Physics, Kinetic Theory, References Balescu, Quantum Statistical Properties of Radiation, Imperial College Press, North Holland, Physica Scripta, Nuovo Cim, World Scientific, Englewood Cliffs, Princeton University Press, Ergodic Theory, References Agarwal, The Gleason, Van Kampen, Keldysh Green, Hely Phys, University of Texas
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