Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results
2010 | 118 | 4 | 531-533

Article title

Harmonically Trapped Bosons on the Sierpiński Carpet

Authors

Content

Title variants

Languages of publication

EN

Abstracts

EN
An ideal Bose-gas confined in a harmonic potential is studied. The thermodynamic properties of the said system are obtained in a general case of D dimensions, where D can be fractional (this corresponds to, e.g., porous medium). For the critical temperature, expansions with respect to the number of particles in the system are obtained. Numerical study is made for D = ln8/ln3 corresponding to the dimensionality of the so-called Sierpiński carpet.

Keywords

EN

Contributors

author
  • Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov St., UA-79005, Lviv, Ukraine

References

  • 1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)
  • 2. 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)
  • 3. W. Ketterle, N.J. van Druten, Phys. Rev. A 54, 656 (1996)
  • 4. W. Deng, P.M. Hui, Solid State Commun. 104, 729 (1997)
  • 5. R.K. Pathria, Phys. Rev. A 58, 1490 (1998)
  • 6. M. Li, L. Chen, J. Chen, Z. Yan, C. Chen, Phys. Rev. A 60, 4168 (1999)
  • 7. I.O. Vakarchuk, A.A. Rovenchak, Condens. Matter Phys. 4, 431 (2001)
  • 8. D. Finotello, K.A. Gillis, A. Wong, M.H.W. Chan, Phys. Rev. Lett. 61, 1954 (1988)
  • 9. M. Chan, N. Mulders, J. Reppy, Physics Today 49, 30 (1996)
  • 10. R.E. Boltnev, I.B. Bykhalo, S.V. Ivashin, I.N. Krushinskaya, L.P. Mezhov-Deglin, J. Low Temp. Phys. 150, 511 (2008)
  • 11. K. Yamamoto, Y. Shibayama, K. Shirahama, J. Low Temp. Phys. 150, 353 (2008); Phys. Rev. Lett. 100, 195301 (2008)
  • 12. E. Courtens, R. Vacher, Proc. R. Soc. Lond. Ser. A 423, 55 (1989)
  • 13. S.-H. Kim, Ch.K. Kim, K. Nahm, J. Phys., Condens. Matter 11, 10269 (1999)
  • 14. J. Kou, F. Wu, H. Lu, Y. Xu, F. Song, Phys. Lett. A 374, 62 (2009)
  • 15. V. Bagnato, D. Kleppner, Phys. Rev. A 44, 7439 (1991)
  • 16. L. Salasnich, J. Math. Phys. 41, 8016 (2000)
  • 17. V.P. Maslov, Theor. Math. Phys. 153, 1575 (2007)
  • 18. A. Posazhennikova, Rev. Mod. Phys. 78, 1111 (2006)
  • 19. G.-L. Ingold, A. Lambrecht, Eur. Phys. J. D 1, 2932 (1998)
  • 20. S. Pearson, T. Pang, Ch. Chen, Phys. Rev. A 58, 4811 (1998)
  • 21. M. Bayindir, B. Tanatar, Phys. Rev. A 58, 3134 (1998)
  • 22. Ch. Gies, B.P. van Zyl, S.A. Morgan, D.A.W. Hutchinson, Phys. Rev. A 69, 023616 (2004)

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-appv118n403kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.