15 citations · 78 across the 10 of their papers we have counts for
10 papers
Cold atoms at unitarity and semiclassical ground state of a Fermi gas for Haldane-Wu exclusion statistics
Jérôme Roccia
We investigate finite particle systems of cold atoms bound in a local potential V(r). We derive the ground state energy and the particle density using a recently developed semiclas…
Level density of a Fermi gas and integer partitions: a Gumbel-like finite-size correction
Jérôme Roccia, Patricio Leboeuf
We investigate the many-body level density of gas of non-interacting fermions. We determine its behavior as a function of the temperature and the number of particles. As the temper…
Semiclassical theory for spatial density oscillations in fermionic systems
J. Roccia, M. Brack, A. Koch
We investigate the particle and kinetic-energy densities for a system of fermions bound in a local (mean-field) potential $V(\bfr)$. We generalize a recently developed semiclas…
Closed-orbit theory for spatial density oscillations
Matthias Brack, Jerôme Roccia
We briefly review a recently developed semiclassical theory for quantum oscillations in the spatial (particle and kinetic energy) densities of finite fermion systems and present so…
Closed orbits and spatial density oscillations in the circular billiard
Matthias Brack, Jérôme Roccia
We present a case study for the semiclassical calculation of the oscillations in the particle and kinetic-energy densities for the two-dimensional circular billiard. For this syste…
Exact and asymptotic local virial theorems for finite fermionic systems
M. Brack, A. Koch, M. V. N. Murthy +1
We investigate the particle and kinetic-energy densities for a system of fermions confined in a potential $V(\bfr)$. In an earlier paper [J. Phys. A: Math. Gen. {\bf 36}, 1111…