Recently we have evaluated the matrix elements 〈Orp〉, where O = {1, β, iαnβ} are the standard Dirac matrix operators and the angular brackets denote the quantum-mechanical average for the relativistic Coulomb problem, in terms of generalized hypergeometric functions 3F2 (1) for all suitable powers and established two sets of Pasternack-type matrix identities for these integrals. The correspondi...

Discrete-time photonic quantum walks on a synthetic lattice, where both spatial and temporal evolution of light are discretized, have recently provided fascinating platform for the observation wealth non-Hermitian physical phenomena control scattering in complex media. A rather open question is whether invisible potentials, analogous to ones known continuous optical media, do exist such discret...

It is known that the Lifshitz theory of Casimir force comes into conflict with measurement data if response conduction electrons in metals to electromagnetic fluctuations described by well-tested dissipative Drude model. The same very good agreement measurements from graphene, whose spatially nonlocal derived first principles quantum electrodynamics. Here we propose phenomenological dielectric ...

Reflection electron energy loss spectroscopy (REELS) spectra were measured for seven insulating organic compounds (DNA, Irganox 1010, Kapton, polyethylene [PE], poly(methyl methacrylate) [PMMA], polystyrene [PS] and polytetrafluoroethylene [PTFE]). Optical constants band gaps extracted from the REELS after elimination of multiple scattering via a deconvolution fitting normalised single to Drude...