We consider a dilute gas of dipole moments in an arbitrary harmonic trap and treat both the short-range, isotropic interaction and the long-range, anisotropic dipole-dipole interactionâ€¦ (More)

We set up recursion relations for the partition function and the ground-state occupancy for a fixed number of noninteracting bosons confined in a square box potential and determine the temperatureâ€¦ (More)

Recently, it has been shown that the Schwinger-Dyson equations of QED can be closed in a certain functionalanalytic sense [8]. Using functional derivatives with respect to the free propagators andâ€¦ (More)

The grand-canonical potential of many-body physics can be considered as a functional of the interaction-free correlation function. As such it obeys a nonlinear functional differential equation whichâ€¦ (More)

We calculate perturbatively the effect of a dipolar interaction upon the Bose-Einstein condensation temperature. This dipolar shift depends on the angle between the symmetry axes of the trap and theâ€¦ (More)