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particle statistics

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particular description of multiple particles in statistical mechanics
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More precisely, because of the relation between spin and statistics, a particle containing an odd number of fermions is itself a fermion.
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The spin-statistics theorem states (1) that particles with half-integer spin (fermions) obey Fermi–Dirac statistics and the Pauli Exclusion Principle, and (2) that particles with integer spin (bosons) obey Bose–Einstein statistics, occupy "symmetric states", and thus can share quantum states.
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Fermion particles are described by Fermi–Dirac statistics and have quantum numbers described by the Pauli exclusion principle.
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He also continued work on several topics in high-energy collision theory, including the analysis of hadron collisions, and the statistical correlation of particles produced in high-energy reactions.
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In statistical mechanics, temperature is the measure of the average kinetic energy stored in a particle.
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The Faddeev–Popov ghosts violate the spin-statistics relation, which is another reason why they are often regarded as "non-physical" particles.
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Far from claiming to make "the contradiction disappear" which Max Born thought could be achieved with a statistical approach, de Broglie extended wave–particle duality to all particles (and to crystals which revealed the effects of diffraction) and extended the principle of duality to the laws of nature.
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However, for statistically large collections of particles that have been placed in the same pure quantum state, such as through the use of a Stern–Gerlach apparatus, the spin vector does have a well-defined experimental meaning: It specifies the direction in ordinary space in which a subsequent detector must be oriented in order to achieve the maximum possible probability (100%) of detecting every particle in the collection.
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In a statistical sense, elastic scattering of light by numerous particles much smaller than the wavelength of the light is a process known as Rayleigh scattering while the similar process for scattering by particles that are similar or larger in wavelength is known as Mie scattering with the Tyndall effect being a commonly observed result.
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The indistinguishability of all particles of each fundamental type (say, electrons, or photons) results in the Dirac and Bose quantum statistics which in turn result in the Pauli exclusion principle for fermions and in Bose–Einstein condensation for bosons.
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Together with James Clerk Maxwell and Ludwig Boltzmann, he created statistical mechanics (a term that he coined), explaining the laws of thermodynamics as consequences of the statistical properties of ensembles of the possible states of a physical system composed of many particles.
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The 2006 Review of Particle Physics concluded: here has not been a high-statistics confirmation of any of the original experiments that claimed to see the Θ+ ; there have been two high-statistics repeats from Jefferson Lab that have clearly shown the original positive claims in those two cases to be wrong; there have been a number of other high-statistics experiments, none of which have found any evidence for the Θ+ ; and all attempts to confirm the two other claimed pentaquark states have led to negative results.
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These include statistical mechanical effects, as well as quantum mechanical effects, for example the "quantum size effect" where the electronic properties of solids are altered with great reductions in particle size.
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However, this generalization was statistical and was not approved of by de Broglie, who said "that the particle must be the seat of an internal periodic movement and that it must move in a wave in order to remain in phase with it was ignored by the actual physicists wrong to consider a wave propagation without localization of the particle, which was quite contrary to my original ideas."
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1982 Francqui Prize, awarded by the Francqui Foundation once every four years in exact sciences "For his contribution to the theoretical understanding of spontaneous symmetry breaking in the physics of fundamental interactions, where, with Robert Brout, he was the first to show that spontaneous symmetry breaking in gauge theories gives mass to the gauge particles, for his extensive contributions in other domains, such as solid state physics, statistical mechanics, quantum field theory, general relativity and cosmology, for the originality and the fundamental importance of these achievements".
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