Probability in Physics
Yemima Ben-Menahem, Meir Hemmo
Springer Science & Business Media, Jan 25, 2012 - Science - 324 pages
What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.
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Chapter 1 Introduction
Chapter 2 Physics and Chance
Chapter 3 Typicality and the Role of the Lebesgue Measure in Statistical Mechanics
Chapter 4 Typicality and Notions of Probability in Physics
Chapter 5 Deterministic Laws and Epistemic Chances
Chapter 6 Measures over Initial Conditions
Chapter 7 A New Approach to the Approach to Equilibrium
Chapter 8 Revising Statistical Mechanics Probability Typicality and Closure Time
Chapter 12 Three Attempts at Two Axioms for Quantum Mechanics
Chapter 13 Generalized Probability Measures and the Framework of Effects
Chapter 14 Infinitely Challenging Pitowskys Subjective Interpretation and the Physics of Infinite Systems
Chapter 15 Bayesian Conditioning the Reflection Principle and Quantum Decoherence
Chapter 16 The World According to de Finetti On de Finettis Theory of Probability and Its Application to Quantum Mechanics
Chapter 17 Four and a Half Axioms for FiniteDimensional Quantum Probability
Chapter 18 Probability in the ManyWorlds Interpretation of Quantum Mechanics
Chapter 9 How Many Maxwells Demons and Where?
Chapter 10 Locality and Determinism The Odd Couple
Chapter 11 Why the Tsirelson Bound?
Titles in this Series