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Englisch
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Beschreibung
In this book the concept of indistinguishability is defined for identical particles by the symmetry of the state. It applies, therefore, to both the classical and the quantum framework. The author describes symmetric statistical operators and classifies these by means of extreme points. 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 are 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.
In this book the concept of indistinguishability is defined for identical particles by the symmetry of the state. It applies, therefore, to both the classical and the quantum framework. The author describes symmetric statistical operators and classifies these by means of extreme points. 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 are 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.
Zusammenfassung
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.
Inhaltsverzeichnis
Indistinguishable Quantum Particles.- Indistinguishable Classical Particles.- De Finetti's Theorem.- Historical and Conceptual Remarks.
Details
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Theoretische Physik |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Physik, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Lecture Notes in Physics Monographs |
| Inhalt: |
viii
160 S. |
| ISBN-13: | 9783662141656 |
| ISBN-10: | 3662141655 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Bach, Alexander |
| Hersteller: |
Springer
Springer Vieweg Springer-Verlag GmbH Lecture Notes in Physics Monographs |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 10 mm |
| Von/Mit: | Alexander Bach |
| Erscheinungsdatum: | 31.12.2013 |
| Gewicht: | 0,271 kg |