Journal of Physics A Mathematical and General

Dielectric properties of an ultra-cold weakly magnetized charged Bose gas

Victor Kowalenko

Published Jan 16, 1998• 3 citations

Abstract

With a new asymptotic expansion for the specific Kummer function that appears in the response theory of low-temperature quantum plasmas in an external magnetic field, the dielectric properties of the charged Bose gas, namely its collective and transverse modes and screening properties, are evaluated in the weak-field limit.

DOI: 10.1088/0305-4470/31/2/028

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Journal of Physics A Mathematical and General

Dielectric properties of an ultra-cold weakly magnetized charged Bose gas

Victor Kowalenko

Published Jan 16, 1998• 3 citations

Publisher

Abstract

DOI: 10.1088/0305-4470/31/2/028

Related papers

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T=0

is displayed. We also study the thermodynamic functions of the gas at very low temperatures and high densities.

{{r}_{s}}^{\frac{3}{4}}

in units of ${\ensuremath{\omega}}_{\mathrm{pl}}$ (the next order beyond the Bogoliubov approximation).

{r}_{s}

is the ratio of the average interparticle distance to the Bohr radius and ${\ensuremath{\omega}}_{\mathrm{pl}}$ is the plasma frequency.

T

below the critical region of Bose-Einstein condensation. Illustrative numerical results at weak coupling

({r}_{s}=1)

are presented within the random phase approximation. We show that within this approach the single-particle spectrum forms a continuum extending from the transverse to the longitudinal plasma mode frequency and leading to a double-peak structure as

T

increases, whereas the density fluctuation spectrum consists of a single broad peak. We also discuss the momentum distribution and the superfluidity of the gas.