LEADER 03183oam 2200601 450 001 9910257395203321 005 20210715231426.0 010 $a3-540-49624-6 024 7 $a10.1007/978-3-540-49624-3 035 $a(CKB)1000000000778087 035 $a(SSID)ssj0000323936 035 $a(PQKBManifestationID)12065020 035 $a(PQKBTitleCode)TC0000323936 035 $a(PQKBWorkID)10304476 035 $a(PQKB)11043100 035 $a(DE-He213)978-3-540-49624-3 035 $a(MiAaPQ)EBC3088519 035 $a(MiAaPQ)EBC6486095 035 $a(PPN)155208233 035 $a(EXLCZ)991000000000778087 100 $a20210715d1997 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIndistinguishable classical particles /$fAlexander Bach 205 $a1st ed. 1997. 210 1$aBerlin, Heidelberg :$cSpringer,$d[1997] 210 4$d©1997 215 $a1 online resource (VIII, 160 p.) 225 1 $aLecture Notes in Physics Monographs,$x0940-7677 ;$v44 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-62027-3 320 $aIncludes bibliographical references. 327 $aIndistinguishable Quantum Particles -- Indistinguishable Classical Particles -- De Finetti?s Theorem -- Historical and Conceptual Remarks. 330 $aIn this book the concept of indistinguishability is defined for identical particles by the symmetry of the state rather than by the symmetry of observables. It applies, therefore, to both the classical and the quantum framework. In this setting the particles of classical Maxwell-Boltzmann statistics are indistinguishable and independent. The author describes symmetric statistical operators and classifies these by means of extreme points and by means of extendibility properties. The three classical statistics are derived in abelian subalgebras. The classical theory of indistinguishability is based on the concept of interchangeable random variables which are classified by their extendibility properties. For the description of infinitely extendible interchangeable random variables de Finetti's theorem is derived and generalizations covering the Poisson limit and the central limit are presented. A characterization and interpretation of the integral representations of classical photon states in quantum optics is derived in abelian subalgebras. Unextendible indistinguishable particles are analyzed in the context of nonclassical photon states. The book addresses mathematical physicists and philosophers of science. 410 0$aLecture Notes in Physics Monographs,$x0940-7677 ;$v44 606 $aMaxwell-Boltzmann distribution law 606 $aCommutative algebra 606 $aSymmetric operators 615 0$aMaxwell-Boltzmann distribution law. 615 0$aCommutative algebra. 615 0$aSymmetric operators. 676 $a530.132 700 $aBach$b Alexander$f1946-$060928 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a9910257395203321 996 $aIndistinguishable Classical Particles$9376173 997 $aUNINA