particle statistics

English

Noun

particle statistics (uncountable)

Used other than figuratively or idiomatically: see particle,‎ statistics.
(statistical mechanics, quantum mechanics) Any of certain theories, in classical physics or (particularly) quantum mechanics, that model the behaviour of collections of particles of identical type.
- 1984, P. W. Milonni, Wave-Particle Duality of Light: A Current Perspective, S. Diner, D. Fargue, G. Lochak, F. Selleri (editors), The Wave-Particle Dualism: A Tribute to Louis de Broglie on his 90th Birthday, D. Reidel Publishing, page 38,
  This circumstance, which is much different from classical particle statistics, reflects the way in which states are counted in Bose-Einstein statistics.
- 1990, Jurg Frohlich, Quantum Statistics and Locality, D. G. Caldi, George D. Mostow (editors), Proceedings of the Gibbs Symposium: Yale University, May 15-17, 1989, American Mathematical Society, American Institute of Physics, page 93,
  A choice of particle statistics in quantum mechanics is equivalent to choosing representations U_n, of π₁(M_n), for all n, in the quantization procedure described in §1.2; see (1.3).
  Thus, for a system of point particles in d > 3 dimensional, physical space, particle statistics is described by the symmetry character of wave functions under permutations of particle positions.
- 2005, Avinash Khare, Fractional Statistics and Quantum Theory, World Scientific, 2nd Edition, page 5,
  The path dependence of the interchange is all important since it relates the quantum mechanical concept of particle statistics to the topology of the configuration space.

单词	particle statistics
释义	particle statistics English Noun particle statistics (uncountable) Used other than figuratively or idiomatically: see particle,‎ statistics. (statistical mechanics, quantum mechanics) Any of certain theories, in classical physics or (particularly) quantum mechanics, that model the behaviour of collections of particles of identical type. 1984, P. W. Milonni, Wave-Particle Duality of Light: A Current Perspective, S. Diner, D. Fargue, G. Lochak, F. Selleri (editors), The Wave-Particle Dualism: A Tribute to Louis de Broglie on his 90th Birthday, D. Reidel Publishing, page 38, This circumstance, which is much different from classical particle statistics, reflects the way in which states are counted in Bose-Einstein statistics. 1990, Jurg Frohlich, Quantum Statistics and Locality, D. G. Caldi, George D. Mostow (editors), Proceedings of the Gibbs Symposium: Yale University, May 15-17, 1989, American Mathematical Society, American Institute of Physics, page 93, A choice of particle statistics in quantum mechanics is equivalent to choosing representations U_n, of π₁(M_n), for all n, in the quantization procedure described in §1.2; see (1.3). Thus, for a system of point particles in d > 3 dimensional, physical space, particle statistics is described by the symmetry character of wave functions under permutations of particle positions. 2005, Avinash Khare, Fractional Statistics and Quantum Theory, World Scientific, 2nd Edition, page 5, The path dependence of the interchange is all important since it relates the quantum mechanical concept of particle statistics to the topology of the configuration space. See also Bose-Einstein statistics classical statistics Fermi–Dirac statistics Maxwell-Boltzmann statistics quantum statistics Further reading Bose–Einstein statistics on Wikipedia.Wikipedia Fermi–Dirac statistics on Wikipedia.Wikipedia Maxwell–Boltzmann statistics on Wikipedia.Wikipedia Spin–statistics theorem on Wikipedia.Wikipedia Statistical ensemble (mathematical physics) on Wikipedia.Wikipedia Statistical mechanics on Wikipedia.Wikipedia
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particle statistics

English

Noun

See also

Further reading