Condensed Matter

Photonic Crystals for Hyper-Raman Technique to Fast Diagnose of COVID-19 Even in Traces and to Break Down Coronavirus Activity Through a Destroying Natural Oscillations of SARS-CoV-2 Ribonucleic Acid

Authors: Dongxue Bi, Vladimir Filatov, Anna Karadzic, Mengyuan Wu
Comments: 7 Pages. The material was reported at AMSE/ICKEM-2022 (2022 March 18-20, Udine, Italy).

The dynamics of COVID-19 cases in Europe shows a novel coronavirus SARS-CoV-2 is able to photoactivate by a natural solar radiation. This means, there are optical-sensitive modes in a spectrum of natural oscillations of the RNA. This paper analyses the dynamics of RNA optical electrons to determine spectral location of the optical-active modes. To do it, we perform the model-independent estimation (what is correct for all varieties of SARS-CoV-2, both known and new ones) as well as model-dependent simulation reveal the location of RNA optical-active modes at several GHz. This allows to use Raman scattering to detect the presence of COVID particles in the ambient air or in a patient saliva sample for fast diagnosis the infection. To enhance Raman signal, we propose to use the photonic crystal as an active Raman substrate. This way, the giant density of optical Tamm states at photonic crystal bandgap edges can be used to resonantly amplify the local (near surface) electromagnetic field to detect a presence of SARS-CoV-2 virions even in traces. This photonic crystal scheme allows to make a portable test device to not only express-diagnose COVID-19 with an ultimate precision, but also to destroy natural oscillations of coronavirus RNA and break down virus activity. This makes possible to kill the virus inside a human body by an optical way.
Category: Condensed Matter

Experimental Verification of the BCS Theory of Superconductivity by Using Persistent Supercurrents

Authors: Stanislav Dolgopolov
Comments: 1 Page. Some clarifications added

According to the BCS theory of superconductivity, the superfluid density must smoothly decrease with increasing temperature; hence a persistent supercurrent in a superconducting ring must decrease at warming and dissipate in temperature cycles below Tc. Here we propose a direct experiment of temperature dependence of persistent supercurrents to examine this BCS prediction.
Category: Condensed Matter

A Simple Construction of Abelian Graphs

Authors: Elmar Guseinov
Comments: Pages.

Замечательной иллюстрацией связи симметрии и теории групп служит доказанная в 1939 г. Робертом Фрухтом теорема о том, что каждая конечная группа G изоморфна группе автоморфизмов некоторого графа. В конструкции Фрухта естественным образом используется граф Кэли G. Однако ещё более простого построения удаётся добиться, если ограничиться абелевыми группами и фундаментальной теоремой конечных абелевых групп (FTFAG), из которой следует возможность представления любой коммутативной группы в виде прямого произведения циклических групп.

A nice example of how group theory deals with symmetry is Frucht's theorem that says that each finite group G is isomorphic to the automorphism group of some graph. In a natural way, the proof here is based on the Cayley graph of G. But we could give even more straightforward proof being restricted to abelian groups, since in this case we may apply the fundamental theorem of finite abelian groups. The article provides one of such constructions.
Category: Condensed Matter

Zeta-Pad'e SRWS Theory with Lowest Order Approximation

Authors: Yoshiki Ueoka
Comments: 8 Pages. Correction of formulas and introduction of more reasonable calculation methods

In my previous preprint about SRWS-zeta theory[Y.Ueoka,viXra:2205.014,2022],I proposed an approximation of rough averaged summation of typical critical Greenfunction for the Anderson transition in the Orthogonal class. In this paper, I removea rough approximate summation for the series of the typical critical Greenfunction by replacing summation with integral. Pade approximant is used to takea summation. The perturbation series of the critical exponent nu of localizationlength from upper critical dimension is obtained. The dimensional dependence ofthe critical exponent is again directly related with Riemann zeta function. Degree offreedom about lower critical exponent improve estimate compared with previousstudies. When I fix lower critical dimension equal to two, I obtained similar estimateof the critical exponent compared with fitting curve estimate of the criticalexponent[E.Tarquini et al.,PhysRevB.95(2017)094204].
Category: Condensed Matter