We have studied the effects of the externally applied electric and magnetic fields on Bose-Einstein condensation of the charged Bose gas. We have used a model density of states which takes the finite sample size into account to calculate the thermodynamic quantities. We have obtained condensate fraction, chemical potential, total energy and specific heat of the system using the semi classical density of states. We have studied the possibility for achieving Bose-Einstein condensation in three dimensional non interacting charged Bose gas under the cross electric and magnetic fields. The external fields made the system inhomogeneous and altered the Bose-Einstein condensation characteristics compared to the homogeneous case. We have found that the non interacting system of charged boson undergo Bose- Einstein condensation when external electric and magnetic fields were applied. The discontinuity in the specific heat was found as a function of external potentials. The obtained results were found in good agreement with previously obtained results.We have studied the effects of the externally applied electric and magnetic fields on Bose-Einstein condensation of the charged Bose gas. We have used a model density of states which takes the finite sample size into account to calculate the thermodynamic quantities. We have obtained condensate fraction, chemical potential, total energy and specific heat of the system using the semi classical density of states. We have studied the possibility for achieving Bose-Einstein condensation in three dimensional non interacting charged Bose gas under the cross electric and magnetic fields. The external fields made the system inhomogeneous and altered the Bose-Einstein condensation characteristics compared to the homogeneous case. We have found that the non interacting system of charged boson undergo Bose- Einstein condensation when external electric and magnetic fields were applied. The discontinuity in the specific heat was found as a function of external potentials. The obtained results were found in good agreement with previously obtained results.

Bulletin of Pure & Applied Sciences- PhysicsJan 1, 20200 citations

Condensation and Magnetization of Charged Vector Boson Gas

V. R. Khalilov, Choon-Lin Ho, Chi Yang

The magnetic properties of charged vector boson gas are studied in the very weak, and very strong (near critical value) external magnetic field limits. When the density of the vector boson gas is low, or when the external field is strong, no true Bose–Einstein condensation occurs, though significant amount of bosons will accumulate in the ground state. The gas is ferromagnetic in nature at low temperature. However, Bose–Einstein condensation of vector bosons (scalar bosons as well) is likely to occur in the presence of a uniform weak magnetic field when the gas density is sufficiently high. A transitional density depending on the magnetic field seems to exist below which the vector boson gas changes its property with respect to the Bose–Einstein condensation in a uniform magnetic field.The magnetic properties of charged vector boson gas are studied in the very weak, and very strong (near critical value) external magnetic field limits. When the density of the vector boson gas is low, or when the external field is strong, no true Bose–Einstein condensation occurs, though significant amount of bosons will accumulate in the ground state. The gas is ferromagnetic in nature at low temperature. However, Bose–Einstein condensation of vector bosons (scalar bosons as well) is likely to occur in the presence of a uniform weak magnetic field when the gas density is sufficiently high. A transitional density depending on the magnetic field seems to exist below which the vector boson gas changes its property with respect to the Bose–Einstein condensation in a uniform magnetic field.

Modern Physics Letters ASep 7, 199711 citations

Bose-Einstein Condensation of Charged Bose Gas.

Padmakar V. Panat

Jan 1, 19720 citations

Bose-Einstein condensation under external conditions

Klaus Kirsten, David J. Toms

arXiv:cond-mat/9804218Physics Letters AJun 1, 199842 citations

The Bogoliubov inequality and the nature of Bose-Einstein condensates for interacting atoms in spatial dimensions $D \le 2$ The Bogoliubov inequality and the nature of Bose-Einstein condensates for interacting atoms in spatial dimensions $D \le 2$

Moorad Alexanian

We consider the restriction placed by the Bogoliubov inequality on the nature of the Bose-Einstein condensates (BECs) for interacting atoms in a spatial dimension D - 2 and in the presence of an external arbitrary potential, which may be a confining "box", a periodic, or a disordered potential. The atom-atom interaction gives rise to a (gauge invariance) symmetry-breaking term that places further restrictions on BECs in the form of a consistency proviso. The necessary condition for the existence of a BEC in D - 2 in all cases is macroscopic occupation of many single-particle momenta states with the origin a limit point (or accumulation point) of condensates. It is shown that the nature of BECs for noninteracting atoms in a disordered potential is precisely the same as that of BECs for interacting atoms in the absence of an external potential.We consider the restriction placed by the Bogoliubov inequality on the nature of the Bose-Einstein condensates (BECs) for interacting atoms in a spatial dimension D - 2 and in the presence of an external arbitrary potential, which may be a confining "box", a periodic, or a disordered potential. The atom-atom interaction gives rise to a (gauge invariance) symmetry-breaking term that places further restrictions on BECs in the form of a consistency proviso. The necessary condition for the existence of a BEC in D - 2 in all cases is macroscopic occupation of many single-particle momenta states with the origin a limit point (or accumulation point) of condensates. It is shown that the nature of BECs for noninteracting atoms in a disordered potential is precisely the same as that of BECs for interacting atoms in the absence of an external potential.

arXiv:1009.3302Sep 17, 20101 citation

The Bogoliubov inequality and the nature of Bose-Einstein condensates for interacting atoms in spatial dimensions

D \le 2