18 citations · 58 across the 9 of their papers we have counts for
9 papers
A manifestly Hermitian semiclassical expansion for the one-particle density matrix of a two-dimensional Fermi gas
K. Bencheikh, B. P. van Zyl, K. Berkane
The semiclassical -expansion of the one-particle density matrix for a two-dimensional Fermi gas is calculated within the Wigner transform method of Grammaticos and Voros, or…
Ordered phases in a bilayer system of dipolar fermions
B. P. van Zyl, W. Ferguson
The liquid-to-ordered phase transition in a bilayer system of fermions is studied within the context of a recently proposed density-functional theory [Phys. Rev. A {\bf 92}, 023614…
Density-functional theory for the crystalline phases of a two-dimensional dipolar Fermi gas
B. P. van Zyl, W. Kirkby, W. Ferguson
Density-functional theory is utilized to investigate the zero-temperature transition from a Fermi liquid to an inhomogeneous stripe, or Wigner crystal phase, predicted to occur in…
An elementary exposition of the Efimov Effect
Rajat K. Bhaduri, Arindam Chatterjee, Brandon P. van Zyl
Two particles that are just shy of binding may develop an infinite number of shallow bound states when a third particle is added. This counter intuitive quantum mechanical result w…
Exact results for a charged, harmonically trapped quantum gas at arbitrary temperature and magnetic field strength
Patrick Shea, Brandon P. van Zyl
An analytical expression for the first-order density matrix of a charged, two-dimensional, harmonically confined quantum gas, in the presence of a constant magnetic field is derive…
Exact first-order density matrix for a d-dimensional harmonically confined Fermi gas at finite temperature
Brandon P. van Zyl
We present an exact closed form expression for the {\em finite temperature} first-order density matrix of a harmonically trapped ideal Fermi gas in any dimension. This constitutes…