Bose-Einstein Condensation in Neutral Many Bosonic System
In this work, the condensation fraction and transition
temperature of neutral many bosonic system are studied within the
static fluctuation approximation (SFA). The effect of the potential
parameters such as the strength and range on the condensate fraction
was investigated. A model potential consisting of a repulsive step
potential and an attractive potential well was used. As the potential
strength or the core radius of the repulsive part increases, the
condensation fraction is found to be decreased at the same
temperature. Also, as the potential depth or the range of the attractive
part increases, the condensation fraction is found to be increased. The
transition temperature is decreased as the potential strength or the
core radius of the repulsive part increases, and it increases as the
potential depth or the range of the attractive part increases.
[1] M. K. Al-Sugheir, S. S. Gasymeh, M. Shatnawi, M. S Bawa'aneh,
"Bose-Einstein Condensation of Hard Sphere Homogeneous Gas in
Static Fluctuation Approximation," Acta Phy. Pol. A, vol. 116, pp. 154-
156, July, 2009.
[2] M.K. Al-Sugheir, H. B. Ghassib, R. R. Nigmatullin, "Liquid 4He in the
Static Fluctuation Approximation, " Int. J Theor. Phys., vol. 40, pp.
1033-1066, May, 2001.
[3] M. K. Al-Sugheir, H. B. Ghassib, M. Awawdeh, "Bose-Einstein
Condensation and Heat Capacity of Two-Dimensional Spin-Polarized
Atomic Hydrogen, " Phys. Rev. A, vol. 84, pp. 013617-013623, July,
2011.
[4] N.M. Ghulam, H.B. Ghassib, M.K. Al-Sugheir, "Hot Nuclear Matter in
the Static Fluctuation Approximation, " Phys. Rev. C, vol. 75, pp.
64317-64325, Jun, 2007.
[5] W. Ketterle, N. J. van Druten, "Bose-Einstein Condensation of a Finite
Number of Particles Trapped in One or Three Dimensions, " Phys. Rev.
A, vol. 54, pp. 54656-54660, July, 1996.
[6] M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A.
Cornell, "Obsevation of Bose-Einstein Condensation in a Dilute Atomic
Vaper, " Science, vol. 269, pp. 198-201, July, 1995.
[7] K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S.
Durfee, D. M. Kurn, W. Ketterle, "Bose-Einstein Condensation in a Gas
of Sodium Atoms, " Phys. Rev. Lett, vol. 75, pp. 3969-3973, Nov. 1995.
[8] S. S. Girish, C. Yia-Chung, "Single-Particle Green Functions in Exactly
Solvable Models of Bose and Fermi Liquids, " Phys. Rev. B, vol. 57, pp.
15144-15166, Jun 1998.
[9] F. Dalfovo, A. Lastri, L. Pricaupenko, S. Stringari, G. Treiner,
"Structural and Dynamical Properties of Superfluid Helium: A Density-
Functional Approach," Phys. Rev. B, vol. 52, pp. 1193-1209, July 1995.
[10] F. Dalfovo, S. Giorgini, L. P. Pitaevskii, S. Stringari, "Theory of Bose-
Einstein Condensation in Ttrapped Gases," Rev. Mod. Phys., vol. 71,
pp. 463-512, March 1999.
[11] R. A. Sakhel, A Gauge-Theoretic Description of Superfluidity,
University of Jordan, Amman, Jordan 1995.
[12] F. London, "On the Bose-Einstein Condensation," Phys. Rev., vol. 54,
pp. 947-954, Dec 1938.
[13] F. A. Deeney, J. P.O-Leary, P. O-Sullivan, "The Density Maximum in
Liquid 4He and its Relationship to the Lambda Poin ," Phys. Lett. A,
vol. 358, pp. 53-56, Oct 2006.
[14] G. Kato, M. Wadati, "Graphical representation of the partition function
of a one-dimensional ╬┤-function Bose gas," J. Math. Phys. vol. 42, pp.
4883-4894, July 2001.
[15] K. R. Jones, D. Bernstein, "The Self-Gravitating Bose-Einstein
Condensate," vol. 18, pp. 1513-1533, Jan 2001.
[16] K. Huang, Statistical Mechanics, Second Edition. Wiley, New York
1987.
[17] B. R. Joudeh, M. K Al-Sugheir, and H.B. Ghassib, "Spin-
Polarized Atomic Hydrogen in the static Fluctuation Approximation,"
Int. J. Mod. Phys. B, vol. 19, pp. 3985-4008, Jan 2005.
[1] M. K. Al-Sugheir, S. S. Gasymeh, M. Shatnawi, M. S Bawa'aneh,
"Bose-Einstein Condensation of Hard Sphere Homogeneous Gas in
Static Fluctuation Approximation," Acta Phy. Pol. A, vol. 116, pp. 154-
156, July, 2009.
[2] M.K. Al-Sugheir, H. B. Ghassib, R. R. Nigmatullin, "Liquid 4He in the
Static Fluctuation Approximation, " Int. J Theor. Phys., vol. 40, pp.
1033-1066, May, 2001.
[3] M. K. Al-Sugheir, H. B. Ghassib, M. Awawdeh, "Bose-Einstein
Condensation and Heat Capacity of Two-Dimensional Spin-Polarized
Atomic Hydrogen, " Phys. Rev. A, vol. 84, pp. 013617-013623, July,
2011.
[4] N.M. Ghulam, H.B. Ghassib, M.K. Al-Sugheir, "Hot Nuclear Matter in
the Static Fluctuation Approximation, " Phys. Rev. C, vol. 75, pp.
64317-64325, Jun, 2007.
[5] W. Ketterle, N. J. van Druten, "Bose-Einstein Condensation of a Finite
Number of Particles Trapped in One or Three Dimensions, " Phys. Rev.
A, vol. 54, pp. 54656-54660, July, 1996.
[6] M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A.
Cornell, "Obsevation of Bose-Einstein Condensation in a Dilute Atomic
Vaper, " Science, vol. 269, pp. 198-201, July, 1995.
[7] K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S.
Durfee, D. M. Kurn, W. Ketterle, "Bose-Einstein Condensation in a Gas
of Sodium Atoms, " Phys. Rev. Lett, vol. 75, pp. 3969-3973, Nov. 1995.
[8] S. S. Girish, C. Yia-Chung, "Single-Particle Green Functions in Exactly
Solvable Models of Bose and Fermi Liquids, " Phys. Rev. B, vol. 57, pp.
15144-15166, Jun 1998.
[9] F. Dalfovo, A. Lastri, L. Pricaupenko, S. Stringari, G. Treiner,
"Structural and Dynamical Properties of Superfluid Helium: A Density-
Functional Approach," Phys. Rev. B, vol. 52, pp. 1193-1209, July 1995.
[10] F. Dalfovo, S. Giorgini, L. P. Pitaevskii, S. Stringari, "Theory of Bose-
Einstein Condensation in Ttrapped Gases," Rev. Mod. Phys., vol. 71,
pp. 463-512, March 1999.
[11] R. A. Sakhel, A Gauge-Theoretic Description of Superfluidity,
University of Jordan, Amman, Jordan 1995.
[12] F. London, "On the Bose-Einstein Condensation," Phys. Rev., vol. 54,
pp. 947-954, Dec 1938.
[13] F. A. Deeney, J. P.O-Leary, P. O-Sullivan, "The Density Maximum in
Liquid 4He and its Relationship to the Lambda Poin ," Phys. Lett. A,
vol. 358, pp. 53-56, Oct 2006.
[14] G. Kato, M. Wadati, "Graphical representation of the partition function
of a one-dimensional ╬┤-function Bose gas," J. Math. Phys. vol. 42, pp.
4883-4894, July 2001.
[15] K. R. Jones, D. Bernstein, "The Self-Gravitating Bose-Einstein
Condensate," vol. 18, pp. 1513-1533, Jan 2001.
[16] K. Huang, Statistical Mechanics, Second Edition. Wiley, New York
1987.
[17] B. R. Joudeh, M. K Al-Sugheir, and H.B. Ghassib, "Spin-
Polarized Atomic Hydrogen in the static Fluctuation Approximation,"
Int. J. Mod. Phys. B, vol. 19, pp. 3985-4008, Jan 2005.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:60592", author = "M. Al-Sugheir and M. Sakhreya and G. Alna'washi and F. Al-Dweri", title = "Bose-Einstein Condensation in Neutral Many Bosonic System", abstract = "In this work, the condensation fraction and transition
temperature of neutral many bosonic system are studied within the
static fluctuation approximation (SFA). The effect of the potential
parameters such as the strength and range on the condensate fraction
was investigated. A model potential consisting of a repulsive step
potential and an attractive potential well was used. As the potential
strength or the core radius of the repulsive part increases, the
condensation fraction is found to be decreased at the same
temperature. Also, as the potential depth or the range of the attractive
part increases, the condensation fraction is found to be increased. The
transition temperature is decreased as the potential strength or the
core radius of the repulsive part increases, and it increases as the
potential depth or the range of the attractive part increases.", keywords = "About four key words or phrases in alphabetical
order, separated by commas", volume = "6", number = "3", pages = "318-5", }