Interatomic potentials of dilute many-boson system

Authors

  • А. А. Ровенчак Ivan Franko National University of Lviv, Ukraine

DOI:

https://doi.org/10.24144/2415-8038.2003.14.16-19

Abstract

A problem of the interatomic potential calculation for the boson system is considered. Expressions relating the Fourier-image of the interatomic potential and the structure factor are utilized to obtain a non-linear integral equation in the low- density limit. The model of 'almost hard spheres' is used as the initial approximation. This model in the limiting case turns into the hard spheres but it has no non-analiticities which cause difficulties in the numerical computations.

References

M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A. Cornell, Science 269, No. 5221, 198 (1995).

K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).

C. J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, 2001).

I. L. McLaughlin, W. H.Young, J. Phys. F: Met. Phys. 14, 1 (1984).

R. T. Arlinghaus, P. T. Cummings, J. Phys. F: Met. Phys. 17, 797 (1987).

R. N. Singh, R. P. Jaju, I. Ali, Physica В 299, 108 (2001).

И. А. Вакарчук, Теор. мат. физ. 80, 439 (1989); Теор. мат. физ. 82, 438 (1990).

I. О. Vakarchuk, V. V. Babin, A. A. Rovenchak, J. Phys. Stud. (Lviv) 4,16 (2000).

I. O. Vakarchuk, A. A. Rovenchak, J. Phys. Stud. (Lviv) 5, 126 (2001).

P. Балеску, Равновесная и неравновесная статистическая механика. Т. 1 (Мир, Москва, 1978).

К. Хуанг, Статистическая механика (Москва, Мир, 1966).

Published

2003-12-25

Issue

Section

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