New representations for square-integrable spheroidal functions

We discuss the solution of boundary value problems that arise after the separation of variables in the Schr\"odinger equation in oblate spheroidal coordinates. The specificity of these boundary value problems is that the singular points of the differential equation are outside the region in which the eigenfunctions are considered. This prevents the construction of eigenfunctions as a convergent series. To solve this problem, we generalize and apply the Jaffe transformation. We find the solution of the problem as trigonometric and power series in the particular case when the charge parameter is zero. Application of the obtained results to the spectral problem for the model of a quantum ring in the form of a potential well of a spheroidal shape is discussed with introducing a potential well of a finite depth.Comment: 5 pages, 3 figures, proc. Days on Diffraction 201

Augmented Reality and its Integration into our Lives

Augmented reality is a technology that allows for virtual objects to be placed in the real world in real-time, enhancing our information about the world around us. Augmented reality glasses are worn in the same way as virtual reality glasses so that they enable the wearer to interact with these images as part of the overall experience

Objective appraisal of tolerance to ventriculography with various radiocontrast media (according to electronystagmography data)

The vestibulo oculomotor reflex (nystagmus) was recorded by means of electronystagmography in 33 neurosurgical patients in dynamics prior to and after ventriculography. For contrasting the ventricular system a water soluble medium (Conrey, dimer X or Amipak) was used in 18 patients and contrast mixtures of water soluble agents in combination with Myodil emulsion in 15. It was established that after ventriculography with water soluble media the trunk vestibular reactions in all types of nystagmus grew frequently and sharply and the vestibulovegetative reactions increased markedly

Correlation between mean transverse momentum and multiplicity of charged particles in pppp and ppˉp\bar{p} collisions: from ISR to LHC

We present our analysis of the available experimental data on correlation between mean transverse momentum and charged particles multiplicity ($\langle p_T \rangle$-$N_{ch}$) at central rapidity in $pp$ and $p\bar{p}$ collisions at $\sqrt{s}$ from 17 GeV to 7 TeV. A multi-pomeron exchange model based on Regge-Gribov approach provides quantitative description of $\langle p_T \rangle$-$N_{ch}$ correlation data and their energy dependence. Results are found to be in agreement with string fusion model hypothesis.Comment: 10 pages, 10 figures, to appear in proc. Esp-Rus201