Collective states and the statistics of systems of identical atoms
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 130-139 Cet article a éte moissonné depuis la source Math-Net.Ru

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Under the assumption that the symmetrization postulate is violated, the second-quantization method is generalized in the quantum-mechanical approach. A formula is obtained for the equilibrium distribution of atoms over states (expression for generalized statistics). The well-known Bose–Einstein, Fermi– Dirae, and Boltzmann distributions follow as special cases from this expression.
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G. S. Kruglic. Collective states and the statistics of systems of identical atoms. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 130-139. http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a12/

[1] H. S. Green, Phys. Rev., 90 (1953), 270 | DOI | MR | Zbl

[2] D. V. Volkov, ZhETF, 36 (1959), 1560 ; ЖЭТФ, 38 (1960), 518 | MR | Zbl | Zbl

[3] A. M. L. Messiah, O. W. Greenberg, Phys. Rev., 136 (1964), B248 ; O. W. Greenberg, A. M. L. Messiah, Phys. Rev., 138 (1965), B1155 | DOI | MR | DOI | MR

[4] A. Galindo, F. J. Yndurain, Nuovo Cim., 30 (1963), 1040 | DOI | MR | Zbl

[5] J. Bialynicki-Birula, Nucl. Phys., 49 (1963), 605 | DOI | MR

[6] G. F. Dell'Antonio, O. W. Greenberg, E. C. G. Sudarshan, Lectures of the Istanbul Summer School of Theoretical Physics (1962), ed. F. Gursev, New-York, 1964

[7] A. B. Govorkov, Preprint JINR E2-3003, Dubna, 1966 ; Препринт ОИЯИ P4-3602, Дубна, 1967 | MR

[8] N. N. Bogolyubov, A. A. Logunov, I. T. Todorov, Osnovy aksiomaticheskogo podkhoda v kvantovoi teorii polya, gl. 5, M., 1969 | MR

[9] G. Lüders, Z. Phys., 192 (1966), 449 | DOI | MR | Zbl

[10] G. S. Kruglik, Kandidatskaya dissertatsiya, Minsk, 1964; Коллективные явления в квантовых генераторах, Препринт ИФ АН БССР, 1970

[11] D. I. Blokhintsev, Osnovy kvantovoi mekhaniki, § 120, M., 1961 | MR