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Quantum Thermodynamics

Emergence of Thermodynamic Behavior Within Composite Quantum Systems

By: Jochen Gemmer, M. Michel, GÃ¼nter Mahler

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Paperback | 14 March 2012 | Edition Number 2

At a Glance

Paperback
364 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 1.91

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Over the years enormous effort was invested in proving ergodicity, but for a number of reasons, con?dence in the fruitfulness of this approach has waned. - Y. Ben-Menahem and I. Pitowsky [1] Abstract The basic motivation behind the present text is threefold: To give a new explanation for the emergence of thermodynamics, to investigate the interplay between quantum mechanics and thermodynamics, and to explore possible ext- sions of the common validity range of thermodynamics. Originally, thermodynamics has been a purely phenomenological science. Early s- entists (Galileo, Santorio, Celsius, Fahrenheit) tried to give de?nitions for quantities which were intuitively obvious to the observer, like pressure or temperature, and studied their interconnections. The idea that these phenomena might be linked to other ?elds of physics, like classical mechanics, e.g., was not common in those days. Such a connection was basically introduced when Joule calculated the heat equ- alent in 1840 showing that heat was a form of energy, just like kinetic or potential energy in the theory of mechanics. At the end of the 19th century, when the atomic theory became popular, researchers began to think of a gas as a huge amount of bouncing balls inside a box.

Industry Reviews

From the reviews of the second edition:

"The aim of this textbook is to show how thermodynamic behavior can emerge for a given finite quantum system. ... The book is written in a conceptually simple language, the focus being rather on the careful interpretation of the concepts at hand and their illustrations on model systems. ... presents some applications to model systems, which allows one to illustrate more precisely previously introduced notions." (Gabriel Stoltz, Mathematical Reviews, Issue 2011 f)

"This book introduces into the emergent field of the application of thermodynamics to describe phenomena arising with open quantum systems which consist in one or few particles. ... A clue of this book is that ergodicity or mixing are replaced by a kind of typicality which is introduced and used as a basic concept to define equilibrium. ... This is a heuristic approach and the results derived show how it works well." (K.-E. Hellwig, Zentralblatt MATH, Vol. 1221, 2011)

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