000 02924nam a22004575i 4500
001 978-3-540-49624-3
003 DE-He213
005 20160624101856.0
007 cr nn 008mamaa
008 121227s1997 gw | s |||| 0|eng d
020 _a9783540496243
_9978-3-540-49624-3
024 7 _a10.1007/978-3-540-49624-3
_2doi
100 1 _aBach, Alexander.
_eauthor.
245 1 0 _aIndistinguishable Classical Particles
_h[electronic resource] /
_cby Alexander Bach.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
300 _aVIII, 160 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v44
505 0 _aIndistinguishable Quantum Particles -- Indistinguishable Classical Particles -- De Finettiā€™s Theorem -- Historical and Conceptual Remarks.
520 _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.
650 0 _aPhysics.
650 0 _aQuantum theory.
650 0 _aQuantum computing.
650 0 _aStatistical physics.
650 1 4 _aPhysics.
650 2 4 _aStatistical Physics.
650 2 4 _aQuantum Computing, Information and Physics.
650 2 4 _aQuantum Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540620273
786 _dSpringer
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v44
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-49624-3
942 _2EBK2763
_cEBK
999 _c32057
_d32057