36 citations · 243 across the 29 of their papers we have counts for
6 papers · 1 filter
On the asymptotic prime partitions of integers
Johann Bartel, R. K. Bhaduri, Matthias Brack +1
In this paper, we discuss P(n), the number of ways in which a given integer n may be written as a sum of primes. In particular, an asymptotic form P_as(n) valid for n towards infin…
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…