Particle Statistics

Identical Particles > s.a. correlations; Gibbs Paradox; Leibniz Principle; Quasiset Theory; representations.
* Idea: In 3+1 or more dimensions, the wave function for two or more identical particles must be either symmetric (bosons, satisfying Bose-Einstein statistics) or antisymmetric (fermions, satisfying Fermi-Dirac statistics) under particle permutation, (–1)^2s ; Exchanging them twice must lead to the same .
@ Conceptual: Sudarshan AJP(75)jan; Dieks Syn(90); Pesic AS(02); Hilborn & Yuca BJPS(02) [philosophical]; Milotti a0705 [Fermi's views].
@ General references: Tikochinsky & Shalitin AJP(90)jan [(anti)symmetrization]; Pesic AJP(91)nov [and formulation of quantum mechanics]; Redhead & Teller BJPS(92); Leinaas & Myrheim IJMPA(93), Leinaas ht/96-in [algebraic]; York qp/00-in; Ghirardi & Marinatto FdP(03)qp/02-in, FdP(04) [entanglement]; Peshkin PRA(03)qp/02, qp/03 [spin-0]; Huggett qp/02-in [identity of indiscernibles]; Philippe et al mp/02/JPA [survey]; French & Rickles qp/03-in; Goldstein et al JPA(05)qp/04 [all particles identical]; Niven PLA(05)cm/04 [MB, BE, and FD, combinatorial]; Omar CP(05)qp [rev]; Saunders SHPMP(06)qp/05 [reason for classical / quantum difference]; Gottesman cm/05 [classical indistinguishable particles]; Herbut qp/06; Wechsler a0811 [particles that "never met"]; de la Torre & Mártin EJP(09) [and counting of states]; Lubberdink a0910.
@ And path integrals: Devreese et al FP(01).
@ Conventionality of indistinguishability: Belousek FP(00); Teller & Redhead FP(00).
@ Other conceptual: Redhead & Teller FP(91) [in favor of Fock space aot tensor product Hilbert space]; de la Torre & Martín EJP(09)-a0808 [entropy]; Morganti SHPMP(09); > s.a. Individuality; particles [discernibility, existence].

Variations > s.a. generalized particle statistics [including anyons, fractional statistics, parastatistics].
@ In curved spacetime: Goodison & Toms PRL(93)ht; Scipioni MPLA(95).
@ On discrete sets: Aneziris IJTP(94); Lulek & Lulek JPA(96) [finite sets].
@ On other types of spaces: Ghilardi & Guadagnini NPB(01) [2+1].

References > s.a. entanglement; foundations of quantum mechanics; quantum technology; spin-statistics theorem; statistical mechanics.
@ General: Klepikov SPU(87); Bach PLA(90); Dasgupta & Roy PLA(90); Bourdeau & Sorkin PRD(92); Arnaud et al AJP(99)mar [Fermi-Dirac statistics, illustration]; Cahill ht/06 [rotations and statistics].
@ Fermions and bosons: Rajeev PRD(84) [F → B]; Paredes & Cirac cm/02, et al PRA(02) [B → F]; Sriramkumar GRG(03)gq/02 [interpolation]; Gough mp/03 [transformation between Fock spaces]; Pavsic ht/05 [and Clifford space]; Patton et al PhyA(05) [thermodynamic equivalence]; Nikolic FP(09) [unified description, superstrings, and Bohmian mechanics]; > s.a. Bosonization, Fermionization; composite models; dirac fields [from bosons]; geons and Kinks [fermionic]; spinors in field theory [from pure gravity].
@ Tests, experiments: Choubey & Kar PLB(06) [neutrinos, from supernovas]
@ Related topics: Strominger PRL(93) [black holes]; MacKenzie et al TMP(94) [quantum configuration space]; Celeghini et al JPA(95)ht [quantum field theory]; Brody & Hughston PRS(99)gq/97 [geometrical]; Isakov et al PLB(98) [observable algebra, 1D]; Oeckl JGP(01)ht/00 [and quantum groups]; Alexanian & Balachandran PLB(02)ht/01 [geons]; Rajagopal cm/06 [superstatistics].
> Related topics: see angular momentum; Configuration Space; gas; locality [correleations].

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