65 citations · 318 across the 25 of their papers we have counts for
25 papers
Fractional calculus within the optical model used in nuclear and particle physics
Richard Herrmann
The optical model is a fundamental tool to describe scattering processes in nuclear physics. The basic input is an optical model potential, which describes the refraction and absor…
Reflection symmetric Erdelyi-Kober type operators - a quasi-particle interpretation
Richard Herrmann
Reflection symmetric Erdlyi-Kober type fractional integral operators are used to construct fractional quasi-particle generators. The eigenfunctions and eigenvalue…
Solutions of the fractional Schrödinger equation via diagonalization - A plea for the harmonic oscillator basis part 1: the one dimensional case
Richard Herrmann
A covariant non-local extention if the stationary Schrödinger equation is presented and it's solution in terms of Heisenbergs's matrix quantum mechanics is proposed. For the specia…
Fractional Cassini Coordinates
Richard Herrmann
Introducing a set of fractional exponential powers of focal distances an extension of symmetric Cassini-coordinates on the plane to the asymmetric case is proposed…
Generalization of the fractional Poisson distribution
Richard Herrmann
A generalization of the Poisson distribution based on the generalized Mittag-Leffler function is proposed and the raw moments are calculated algebraically in terms of…
A fractal approach to the dark silicon problem: a comparison of 3D computer architectures -- standard slices versus fractal Menger sponge geometry
Richard Herrmann
The dark silicon problem, which limits the power-growth of future computer generations, is interpreted as a heat energy transport problem when increasing the energy emitting surfac…