Momentum distribution for bosons with positive scattering length in a trap

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 55, Issue 2, 1997, Pages 1179-1181

  Chou, T T ^a   Yang, Chen Ning ^b   Yu, L H ^c  

^a UNIVERSITY OF GEORGIA   (United States)

^b STONY BROOK UNIVERSITY   (United States)

^c BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000136754     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.55.1179     Document Type: Article

References (9)

1. J. Oliva, Phys. Rev. B 39, 4197 (1989).
2. T. T. Chou, Chen Ning Yang and L. H. Yu, Phys. Rev. A 53, 4257 (1996).
3. K. Huang, C. N. Yang and J. M. Luttinger, Phys. Rev. 105, 776 (1957).
4. T. D. Lee and C. N. Yang, Phys. Rev. 112, 1419 (1958). To avoid confusion of notations between Refs. 2 and 5, we add a subscript 5 to the parameter ξ and ζ of Ref. 5. Furthermore, we refer to Eq. x in Ref. 5 as Eq. (5.x).
5. N. N. Bogoliubov, J. Phys. (Moscow) XI, 23 (1947), introduced the mathematical trick later known as the Bogoliubov transformation. But the concept of scattering length was not used and the physics of the paper was incorrect. In 1957 in Ref. 7 the physics of the dilute hard sphere boson system was reduced to a Hamiltonian problem solved in the Appendix of that paper. Later it was pointed out 8 that this Hamiltonian problem can be more easily solved with the Bogoliubov transformation. We follow here this later method.
6. T. D. Lee, K. Huang and C. N. Yang, Phys. Rev. 106, 1135 (1959).
7. K. Huang, Statistical Mechanics (Wiley, New York, 1963).
8. R. P. Feynman, Statistical Mechanics: A Set of Lectures (Benjamin, New York, 1972).
9. E. Wigner, Phys. Rev. 40, 749 (1932).