36 citations · 243 across the 29 of their papers we have counts for
29 papers
Semiclassical analysis of distinct square partitions
M. V. N. Murthy, Matthias Brack, Rajat K. Bhaduri +1
We study the number of partitions of an integer into sums of distinct squares and derive an integral representation of the function . Using semi-classical and quan…
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…
A semiclassical analysis of the Efimov energy spectrum in the unitary limit
Rajat K. Bhaduri, Matthias Brack, M. V. N. Murthy
We demonstrate that the (s-wave) geometric spectrum of the Efimov energy levels in the unitary limit is generated by the radial motion of a primitive periodic orbit (and its harmon…
Vilen Mitrofanovich Strutinsky's impact on nuclear and many particle physics
Matthias Brack
This paper is dedicated to the memory of Vilen Mitrofanovich Strutinsky who would have been 80 this year. His achievements in theoretical nuclear physics are briefly summarized. I…
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…