Mapana Journal of Sciences

On the Combined Role of Strong and Electroweak Interactions in Understanding Nuclear Binding Energy Scheme

Seshavatharam, S Lakshminarayana — Fri, 01 Jan 2021 00:00:00 +0000

An attempt is made toa model the atomic nucleus as a combination of bound and free or unbound nucleons. Due to strong interaction, bound nucleons help in increasing nuclear binding energy and due to electroweak interaction, free or unbound nucleons help in decreasing nuclear binding energy. In this context, with reference to proposed 4G model of final unification and strong interaction, recently we have developed a unified nuclear binding energy scheme with four simple terms, one energy coefficient of 10.1 MeV and two small numbers 0.0016 and 0.0019. In this paper, by eliminating the number 0.0019, we try to fine tune the estimation procedure of number of free or unbound nucleons pertaining to the second term with an energy coefficient of 11.9 MeV. Interesting observation is that, Z can be considered as a characteristic representation of range of number of bound isotopes of Z.

On the Use of B-Splines as Ritz Variational Basis Functions to Solve the Schrodinger Equation (TISE) for a constrained free Quantum Particle

Anandaram Mandyam — Fri, 01 Jan 2021 00:00:00 +0000

B-Splines as piecewise adaptation of Bernstein polynomials (aka, B-polys) are widely used as Ritz variational basis functions in solving many problems in the fields of quantum mechanics and atomic physics. In this paper they are used to solve the 1-D stationary Schrodinger equation (TISE) for a free quantum particle subject to a fixed domain length by using the Python software SPLIPY with different sets of computation parameters. In every case it was found that over 60 percent of energy levels had excellent accuracy thereby proving that the use of B-spline collocation is a preferred method.

Characterization of Multiphase Polypyrrole/Vanadium Oxide Nano Composites for a.c. Conductivity and Dielectric Properties

Nihal, Prajwal, Purnachandra , Chaluvaraju B V, Murugendrappa M V, Harshitha R — Fri, 01 Jan 2021 00:00:00 +0000

Vanadium oxide: Phase-1 and Phase-2 nano powers were synthesized from vanadium pentoxide in the presence of glucose using hydrothermal technique. The polypyrrole/vanadium oxide (PV P-1 and PV P-2) nano composites were synthesized with 15, 30, 45 and 60 weight percents of vanadium oxide: Phase-1 and Phase-2 in pyrrole, by the chemical polymerization (oxidation) method. The SEM micrographs of vanadium oxide: Phase-1 and Phase-2 nano powders have shown mixture of nano belts & rods and PV P-1 & PV P-2 nano composites indicate that the composites have cluster formation with almost spherical nature particles and form elongated chains at some places. Conductivity versus frequency plots shown that exponential increase for conductivity. The value of s increases to 1.13x10^-3S/cm for 15 wt. % of VO₂ P-1 in polypyrrole & to 2.43x10^-3S/cm for 30 wt. % of VO₂ P-2 in polypyrrole at 1 MHz.

Long Term UV Continuum and Line Variability in NGC 1275

Bryan Rithesh Miranda, Vijayakumar H Doddamani, Vedavathi P — Fri, 01 Jan 2021 00:00:00 +0000

In this paper, we present our results for the first time on long term emission-line and continuum variability studies using the International Ultraviolet Explorer’s final archive of UV spectroscopic data obtained in the wavelength region from 1150 Å to 3200 Å for NGC 1275, a dust dominated BL Lac characterized by the R_max and F-variance parameter. The UV continuum flux variability analysis presented in this paper covers more number of emission-line free continuum windows in the UV region centred at 1710 Å, 1800 Å, 2625 Å, 2875 Å & 3025 Å. We have obtained a higher value of Fvar ~ 45 % at 1710 Å and a lower value of ~ 30 % at 1800 Å for the IUE's observational period of 1978 - 1989. The Lyα, C IV, C III] and Mg II emission lines have been observed as weaker line features on fewer occasions intermittently.

Bernstein Polynomials: Properties and Applications to Bezier Curves, B-Splines, and Solution of Boundary Value Problems

Anandaram Mandyam — Fri, 01 Jan 2021 00:00:00 +0000

Bernstein polynomials (aka, B-polys) have excellent properties allowing them to be used as basis functions in many applications of physics. In this paper, a brief tutorial description of their properties is given and then their use in obtaining B-polys, B-splines or Basis spline functions, Bezier curves and ODE solution curves, is computationally demonstrated. An example is also described showing their application to solving a fourth-order BVP relating to the bending at the free end of a cantilever.