Similarities and differences between Bose and Fermi gases

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 3, 1998, Pages 2697-2702

  Pathria, R K ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000329729     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.2697     Document Type: Article

References (11)

1. M. H. Lee, Phys. Rev. E 55, 1518 (1997).PLEEE8
2. R. M. May, Phys. Rev. 135, A1515 (1964).PHRVAO
3. R. K. Pathria, Statistical Mechanics, 2nd ed. (Butterworth-Heinemann, Oxford, 1996), Problem 8.12.
4. R. K. Pathria, Statistical Mechanics (Ref. 3), Appendix D.
5. It so happens that this temptation works reasonably well in three dimensions because the finite-size effects in that case are no more than a mere correction to the bulk results. It does not work in two dimensions because in this case the finite-size effects at low temperatures turn out to be comparable to the bulk results; cf. Eq. (A14) with the sum of Eqs. (12) and (15).
6. The first condition arises from the requirement that λ be much less than L [so that the passage from Eq. (A18) to (A19) is justified]; the second one arises from the requirement that the parameter y2 be much less than unity [so that the last part of expression (19) may be regarded as relatively small].
7. R. K. Pathria, Statistical Mechanics (Ref. 3), Sec. 4.5.
8. S. Singh and R. K. Pathria, J. Phys. A 20, 6357 (1987); JPHAC5
9. see also Statistical Mechanics (Ref. 3), Problem 12.26.
10. S. Singh and R. K. Pathria, Phys. Rev. B 31, 4483 (1985).PRBMDO
11. A. N. Chaba and R. K. Pathria, J. Math. Phys. 16, 1457 (1975). JMAPAQ