Indistinguishable Classical Particles (lecture Notes In Physics Monographs)
by Alexander Bach /
1996 / English / PDF
6.6 MB Download
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.
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.
