Qualitative description of experiences of temporomandibular disorder symptoms in Yerevan, Armenia

Abstract

Singularity of the potential function makes quantum tunneling, the case 0 () /  V x V x  of which is the subject of this article, mathematically underdetermined. To circumvent the difficulties it introduced in physics, a potential singularity cutoff is often used, followed by a reverse limit transition, or is a suitable self-adjoint extension of the Hamiltonian along the entire coordinate axis made. However, both of them somehow affect the singular nature of the problem, and so I discuss here how quantum tunneling will behave if the original singular nature of the Schrodinger equation left untouched. To do this, I use the property of the probability density current that the singularities are mutually destroyed in it. It is found that the mildly singular potential with 01   has a finite, but unusual tunnelling transparency, in particular, a non-zero value at zero energy of the incident particle. Тhe tunneling of 1D Coulomb potential (1  ) exhibits infinitely fast and complete oscillation at the zero energy boundary and a suppression to zero in the highenergy limit. In the more singular region with 1   , the tunneling becomes forbidden, thereby repeating the well-known result of the regularized counterparts.

Green Legacy: Plant Introduction and Dendrological Collections in Yerevan Botanical Garden: From the Past to the Future

“…These collections focused on specific categories such as conifers, beautifully flowering shrubs and garden forms, woody lianas, as well as a variety of highly decorative and species-rich genera-Syringa, Sorbus, Lonicera, Spiraea, etc. [19,[24][25][26][27][28].…”