3 papers
nlin.CD2005
Poisson-to-Wigner crossover transition in the nearest-neighbor spacing statistics of random points on fractals
Jamal Sakhr, John M. Nieminen
We show that the nearest-neighbor spacing distribution for a model that consists of random points uniformly distributed on a self-similar fractal is the Brody distribution of rando…
quant-ph2004
Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory
Rajat K. Bhaduri, Jamal Sakhr, D. W. L. Sprung +2
We examine shape invariant potentials (excluding those that are obtained by scaling) in supersymmetric quantum mechanics from the stand-point of periodic orbit theory. An exact tra…
nlin.CD2002
Zeta Function Zeros, Powers of Primes, and Quantum Chaos
Jamal Sakhr, Rajat K. Bhaduri, Brandon P. van Zyl
We present a numerical study of Riemann's formula for the oscillating part of the density of the primes and their powers. The formula is comprised of an infinite series of oscillat…