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

Bach, Alexander

Hardcover

ISBN 10: 3540620273 ISBN 13: 9783540620273

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1996

Synopsis

Here, the concept of indistinguishability is defined for identical particles by the symmetry of the state, therefore applying to both the classical and the quantum framework. The author describes symmetric statistical operators and classifies these by means of extreme points. He derives de Finettis theorem for the description of infinitely extendible interchangeable random variables, and presents generalisations covering the Poisson limit and the central limit. Finally, a characterisation and interpretation of the integral representations of classical photon states in quantum optics are derived in abelian subalgebras, and unextendible indistinguishable particles are analysed in the context of non-classical photon states. Suitable for mathematical physicists and philosophers of science.

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-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1996
• Language: English
• ISBN 10: 3540620273
• ISBN 13: 9783540620273
• Binding: Hardcover
• Number of pages: 168