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- European Theoretical Spectroscopy FacilityBE9 papers
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5 papers · 1 filter
Grassmann-Gaussian integrals and generalized star products
Sh. Khachatryan, R. Schrader, A. Sedrakyan
In quantum scattering on networks there is a non-linear composition rule for on-shell scattering matrices which serves as a replacement for the multiplicative rule of transfer matr…
Time-fractional derivatives in relaxation processes: a tutorial survey
Francesco Mainardi, Rudolf Gorenflo
The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are…
Some aspects of fractional diffusion equations of single and distributed order
Francesco Mainardi, Gianni Pagnini, Rudolf Gorenflo
The time fractional diffusion equation is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order $β\in (0,…
Perturbative test of single parameter scaling for 1D random media
R. Schrader, H. Schulz-Baldes, A. Sedrakyan
Products of random matrices associated to one-dimensional random media satisfy a central limit theorem assuring convergence to a gaussian centered at the Lyapunov exponent. The hyp…
Quantum wires with magnetic fluxes
Vadim Kostrykin, Robert Schrader
In the present article magnetic Laplacians on a graph are analyzed. We provide a complete description of the set of all operators which can be obtained from a given self-adjoint La…