15 citations · 78 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
Closed-Orbit Theory of Spatial Density Oscillations in Finite Fermion Systems
Jérôme Roccia, Matthias Brack
We investigate the particle and kinetic-energy densities for non-interacting fermions confined in a local potential. Using Gutzwiller's semi-classical Green function, we descri…