65 citations · 318 across the 25 of their papers we have counts for
15 papers · 1 filter
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…
Towards a geometric interpretation of generalized fractional integrals - Erdelyi-Kober type integrals on as an example
Richard Herrmann
A family of generalized Erdelyi-Kober type fractional integrals is interpreted geometrically as a distortion of the rotationally invariant integral kernel of the Riesz fractional i…
On the origin of space
R. Herrmann
Within the framework of fractional calculus with variable order the evolution of space in the adiabatic limit is investigated. Based on the Caputo definition of a fractional deriva…