scholarly journals Information geometry for Fermi–Dirac and Bose–Einstein quantum statistics

2021 ◽  
Vol 576 ◽  
pp. 126061
Author(s):  
Pedro Pessoa ◽  
Carlo Cafaro
Keyword(s):  
Information Geometry ◽  
Quantum Statistics ◽  
Bose Einstein

Multiplicity dependence of Bose-Einstein correlations and quantum statistics

1991 ◽  
Vol 253 (3-4) ◽  
pp. 421-426 ◽  
Author(s):  
G.N. Fowler ◽  
E.M. Friedlander ◽  
X.C. He ◽  
C.C. Shih ◽  
R.M. Weiner
Keyword(s):  
Quantum Statistics ◽  
Bose Einstein

Quantum statistics

Quantum 20/20 ◽  
2019 ◽  
pp. 37-54
Author(s):  
Ian R. Kenyon
Keyword(s):  
Chemical Potential ◽  
Quantum Statistics ◽  
Exclusion Principle ◽  
Einstein Condensation ◽  
Exchange Force ◽  
Stellar Objects ◽  
Bose Einstein Condensation ◽  
Boson Exchange ◽  
Degeneracy Pressure ◽  
Bose Einstein

Indistinguishability of like particles, and the fermion and boson exchange symmetries discussed.Pauli exclusion principle and features of multi-electron atoms, including selection rules are discussed. Degeneracy pressure and the formation of compact stellar objects is analysed. Quantum exchange force between electrons and its contribution to ferromagnetism is outlined. Fermi-Dirac and Bose-Einstein statistics, includng the chemical potential are derived. The conditions for Bose-Einstein condensation are deduced; condensates and their stability are considered.

GENERALIZED QUANTUM STATISTICS

1992 ◽  
Vol 07 (29) ◽  
pp. 2685-2694 ◽  
Author(s):  
CHIHONG CHOU
Keyword(s):  
Statistical Mechanics ◽  
Single Particle ◽  
Fock Space ◽  
Quantum Statistics ◽  
Quantum Mechanical ◽  
Mechanical Description ◽  
Quantum Mechanical Description ◽  
Special Cases ◽  
Bose Einstein

In this letter, a non-anyonic generalization of quantum statistics is presented, in which Fermi-Dirac statistics (FDS) and Bose-Einstein statistics (BES) appear as two special cases. This new quantum statistics, which is characterized by the dimension of its single particle Fock space, contains three consistent parts, namely the generalized bilinear quantization, the generalized quantum mechanical description and the corresponding statistical mechanics.

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