Mathematical Foundations Of Statistical Mechanics Tr
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Mathematical Foundations Of Statistical Mechanics
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Author : Aleksandr I?Akovlevich Khinchin
language : en
Publisher: Courier Corporation
Release Date : 1949-01-01
Mathematical Foundations Of Statistical Mechanics written by Aleksandr I?Akovlevich Khinchin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949-01-01 with Mathematics categories.
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.
Mathematical Foundations Of Statistical Mechanics Tr
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Author : Aleksandr I︠A︡kovlevich Khinchin
language : en
Publisher:
Release Date :
Mathematical Foundations Of Statistical Mechanics Tr written by Aleksandr I︠A︡kovlevich Khinchin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Statistical mechanics categories.
C Algebras And Mathematical Foundations Of Quantum Statistical Mechanics
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Author : Jean-Bernard Bru
language : en
Publisher: Springer Nature
Release Date : 2023-06-16
C Algebras And Mathematical Foundations Of Quantum Statistical Mechanics written by Jean-Bernard Bru and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-16 with Science categories.
This textbook provides a comprehensive introduction to the mathematical foundations of quantum statistical physics. It presents a conceptually profound yet technically accessible path to the C*-algebraic approach to quantum statistical mechanics, demonstrating how key aspects of thermodynamic equilibrium can be derived as simple corollaries of classical results in convex analysis. Using C*-algebras as examples of ordered vector spaces, this book makes various aspects of C*-algebras and their applications to the mathematical foundations of quantum theory much clearer from both mathematical and physical perspectives. It begins with the simple case of Gibbs states on matrix algebras and gradually progresses to a more general setting that considers the thermodynamic equilibrium of infinitely extended quantum systems. The book also illustrates how first-order phase transitions and spontaneous symmetry breaking can occur, in contrast to the finite-dimensional situation. One of the unique features of this book is its thorough and clear treatment of the theory of equilibrium states of quantum mean-field models. This work is self-contained and requires only a modest background in analysis, topology, and functional analysis from the reader. It is suitable for both mathematicians and physicists with a specific interest in quantum statistical physics.
Mathematical Foundations Of Statistical Mechanics
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Author : A. I. Khinchin
language : en
Publisher:
Release Date : 1975
Mathematical Foundations Of Statistical Mechanics written by A. I. Khinchin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Mathematical Foundations Of Statistical Mechanics
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Author : A. Ya. Khinchin
language : en
Publisher: Courier Corporation
Release Date : 2013-01-17
Mathematical Foundations Of Statistical Mechanics written by A. Ya. Khinchin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-17 with Mathematics categories.
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Reduction to the Problem of the Theory of Probability; and more.
The Oxford Handbook Of Philosophy Of Time
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Author : Craig Callender
language : en
Publisher: Oxford University Press
Release Date : 2011-04-07
The Oxford Handbook Of Philosophy Of Time written by Craig Callender and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-07 with Science categories.
As the study of time has flourished in the physical and human sciences, the philosophy of time has come into its own as a lively and diverse area of academic research. Philosophers investigate not just the metaphysics of time, and our experience and representation of time, but the role of time in ethics and action, and philosophical issues in the sciences of time, especially with regard to quantum mechanics and relativity theory. This Handbook presents twenty-three specially written essays by leading figures in their fields: it is the first comprehensive collaborative study of the philosophy of time, and will set the agenda for future work.
Mathematical Foundations Of Statistical Mechanics
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Author : Aleksandr Iakovlevich Khinchin
language : en
Publisher:
Release Date : 1949
Mathematical Foundations Of Statistical Mechanics written by Aleksandr Iakovlevich Khinchin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Statistical mechanics categories.
The Law Governed Universe
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Author : John T. Roberts
language : en
Publisher: OUP Oxford
Release Date : 2008-11-27
The Law Governed Universe written by John T. Roberts and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-27 with Philosophy categories.
John T. Roberts presents and defends a radically new theory of laws of nature, the Measurability Account. Though consistent with a Humean ontology, Roberts's theory differs sharply from the most influential Humean theory of laws, David Lewis's Best-System Analysis. Unlike other Humean theories, the Measurability Account affirms that there is an important sense in which the laws govern the universe, rather than simply describing it economically. Yet unlike non-Humean theories, it requires only minimal metaphysical commitments. In this way, it combines the advantages of Humean and non-Humean approaches to laws, while avoiding the pitfalls of each. At the heart of the Measurability Account are two new ideas: that lawhood is not a property of facts but rather a role that a proposition can play within a scientific theory, and that what is essential to laws is that they guarantee the reliability of methods of measuring natural quantities. On the basis of these ideas, Roberts argues that we can offer an informative and compelling explanation of why laws have the peculiar counterfactual resilience that sets them apart from accidental uniformities.
Geometry And Topology In Hamiltonian Dynamics And Statistical Mechanics
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Author : Marco Pettini
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-14
Geometry And Topology In Hamiltonian Dynamics And Statistical Mechanics written by Marco Pettini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-14 with Mathematics categories.
Itisaspecialpleasureformetowritethisforewordforaremarkablebookbya remarkableauthor.MarcoPettiniisadeepthinker,whohasspentmanyyears probing the foundations of Hamiltonian chaos and statistical mechanics, in particular phase transitions, from the point of view of geometry and topology. Itisinparticularthequalityofmindoftheauthorandhisdeepphysical,as well as mathematical insights which make this book so special and inspiring. It is a “must” for those who want to venture into a new approach to old problems or want to use new tools for new problems. Although topology has penetrated a number of ?elds of physics, a broad participationoftopologyintheclari?cationandprogressoffundamentalpr- lems in the above-mentioned ?elds has been lacking. The new perspectives topology gives to the above-mentioned problems are bound to help in their clari?cation and to spread to other ?elds of science. The sparsity of geometric thinking and of its use to solve fundamental problems, when compared with purely analytical methods in physics, could be relieved and made highly productive using the material discussed in this book. It is unavoidable that the physicist reader may have then to learn some new mathematics and be challenged to a new way of thinking, but with the author as a guide, he is assured of the best help in achieving this that is presently available.
Paperbacks In Print
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Author :
language : en
Publisher:
Release Date : 1975
Paperbacks In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Great Britain categories.