The von Neumann-Wigner type potentials and the wave functions' asymptotics for the discrete levels in continuum

One to one correspondence between the decay law of the von Neumann-Wigner type potentials and the asymptotic behaviour of the wave functions representing bound states in the continuum is established.Comment: latex, 7 page

Influence of zeolıte on red soıls ın southwestern georgıa

Doğal kayaların, yani Zeolit arttırıcı dozların etkisi, çay bitkileriyle kaplanmış olan kızıltoprak arazinin kimyasal verileri: pH; Asitliği; Humus; Nitrojen ve temel gıda elementlerinin içeriği üzerinde araştırma yapılmıştır. Eksperimental olarak ortaya çıkmıştır ki Lançkhuti Kasabası Shukhuti Köyünde ortaya çıkan Filifsitik Zeolitler kızıltoprak arazilerinin verimliliğinin seviyesini önemli derecede güçleştirmektedir. Bununla birlikte belirtilen bu zeolitler tarım-ziraat alanlarında (Çay) verilen mineral gübrelerinin üzün süreli etkisi ve efektisini yükseltmektedirInfluences of zeolite addition into pH, acidity, organic matter, nitrogen and main nutrients properties of tea cultivated soils were investigated in this study. It has been determined that Filifsidik zeolites that found in Shukhuti village of Lançkhuti town lowered the fertility of soils in the area. However, zeolite use in cultivated areas, especially tea plantation areas has increased the effectiveness of applied fertilizers

On the regularization scheme and gauge choice ambiguities in topologically massive gauge theories

It is demonstrated that in the (2+1)-dimensional topologically massive gauge theories an agreement of the Pauli-Villars regularization scheme with the other schemes can be achieved by employing pairs of auxiliary fermions with the opposite sign masses. This approach does not introduce additional violation of discrete (P and T) symmetries. Although it breaks the local gauge symmetry only in the regulator fields' sector, its trace disappears completely after removing the regularization as a result of superrenormalizability of the model. It is shown also that analogous extension of the Pauli-Villars regularization in the vector particle sector can be used to agree the arbitrary covariant gauge results with the Landau ones. The source of ambiguities in the covariant gauges is studied in detail. It is demonstrated that in gauges that are softer in the infrared region (e.g. Coulomb or axial) nonphysical ambiguities inherent to the covariant gauges do not arise.Comment: Latex, 13 pages. Replaced mainly to change preprint references to journal one

Module Definition for Drainage Runoffs Considering Climatic and Soil Conditions of the Kolkheti Lowland

The present article describes existing methods of calculating a drainage runoff module, their values are compared with those of the countries of Europe, USA and Russia. Parallels are drawn between the climatic and soil conditions of the Great Britain and the Kolkheti lowland. In view of the above and according to the experimental data the following conclusion was made implying that a value of the drainage runoff design module for the conditions of the Kolkheti lowland requires to be increased. 

Anomalous translational velocity of vortex ring with finite-amplitude Kelvin waves

We consider finite-amplitude Kelvin waves on an inviscid vortex assuming that the vortex core has infinitesimal thickness. By numerically solving the governing Biot-Savart equation of motion, we study how the frequency of the Kelvin waves and the velocity of the perturbed ring depend on the Kelvin wave amplitude. In particular, we show that, if the amplitude of the Kelvin waves is sufficiently large, the perturbed vortex ring moves backwards.Comment: 6 pages, 5 figures, v2: minor changes, v3: typos correcte

Energetics and Possible Formation and Decay Mechanisms of Vortices in Helium Nanodroplets

The energy and angular momentum of both straight and curved vortex states of a helium nanodroplet are examined as a function of droplet size. For droplets in the size range of many experiments, it is found that during the pickup of heavy solutes, a significant fraction of events deposit sufficient energy and angular momentum to form a straight vortex line. Curved vortex lines exist down to nearly zero angular momentum and energy, and thus could in principle form in almost any collision. Further, the coalescence of smaller droplets during the cooling by expansion could also deposit sufficient angular momentum to form vortex lines. Despite their high energy, most vortices are predicted to be stable at the final temperature (0.38 K) of helium nanodroplets due to lack of decay channels that conserve both energy and angular momentum.Comment: 10 pages, 8 figures, RevTex 4, submitted to Phys. Rev.

Scattering of Line-Ring Vortices in a Superfluid

We study the scattering of vortex rings by a superfluid line vortex using the Gross-Pitaevskii equation in a parameter regime where a hydrodynamic description based on a vortex filament approximation is applicable. By using a vortex extraction algorithm, we are able to track the location of the vortex ring as a function of time. Using this, we show that the scattering of the vortex ring in our Gross-Pitaevskii simulations is well captured by the local induction approximation of a vortex filament model for a wide range of impact parameters. The scattering of a vortex ring by a line vortex is characterised by the initial offset of the centre of the ring from the axis of the vortex. We find that a strong asymmetry exists in the scattering of a ring as a function of this initial scattering parameter

INFLUENCE OF ZEOLITE ON RED SOILS IN SOUTHWESTERN GEORGIA

Influences of zeolite addition into pH, acidity, organic matter, nitrogen and main nutrients properties of tea cultivated soils were investigated in this study. It has been determined that Filifsidik zeolites that found in Shukhuti village of Lançkhuti town lowered the fertility of soils in the area. However, zeolite use in cultivated areas, especially tea plantation areas has increased the effectiveness of applied fertilizers