Indistinguishable Classical Particles: 44 (Lecture Notes in Physics Monographs, 44) - Softcover

Bach, Alexander

Softcover

ISBN 10: 3662141655 ISBN 13: 9783662141656

Publisher: Springer, 2013

Synopsis

Addressing mathematical physicists and philosophers of science the book defines the concept of indistinguishability for identical particles by the symmetry of the state rather than the symmetry of observables. Thus it applies to both the classical and the quantum framework.

About this title

From the Back Cover

In this book the concept of indistinguishability is defined for identical particles by the symmetry of the state rather than by the symmetry of observables. It applies, therefore, to both the classical and the quantum framework. In this setting the particles of classical Maxwell-Boltzmann statistics are indistinguishable and independent. The author describes symmetric statistical operators and classifies these by means of extreme points and by means of extendibility properties. The three classical statistics are derived in abelian subalgebras. The classical theory of indistinguishability is based on the concept of interchangeable random variables which are classified by their extendibility properties. For the description of infinitely extendible interchangeable random variables de Finetti's theorem is derived and generalizations covering the Poisson limit and the central limit are presented. A characterization and interpretation of the integral representations of classical photon states in quantum optics is derived in abelian subalgebras. Unextendible indistinguishable particles are analyzed in the context of nonclassical photon states. The book addresses mathematical physicists and philosophers of science.

Edition details

• Publisher: Springer
• Publication date: 2013
• Language: English
• ISBN 10: 3662141655
• ISBN 13: 9783662141656
• Binding: Paperback
• Number of pages: 168