IOSR-JAP   Volume-11 ~ Issue-5 ~ Sep-Oct 2019

ABSTRACT: The purpose of this research is to study the energy of universal natural systems. It was developed from Einstein's energy equation. We proposed new ideas called even 2n and odd 3nj light dimension energy state systems using Jiradeach's postulates. light dimensions were developed from Einstein's Theory of Special Relativity. We applied these new ideas to the Compton effect in open high dimensions and implemented Jiradeach's quantum hypothesis for 2n photon, ephoton, and 3nj ephoton particles. In all cases, the equations had wavelengths called the Compton wavelength of the electron in even 2n, super relative energy, and odd 3nj light dimension energy state systems. This relationship connects the initial and final wavelengths the scattering angle, which confirms Compton's experimental............

Keyword:Compton wavelength of the electron in even 2n light dimension energy state systems, even 2n light dimension energy state systems, Jiradeach's postulates, Jiradeach's quantum hypothesis in high dimensions, odd 3nj light dimension energy state systems.

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ABSTRACT: The primary purpose of this paper isto provide the general solution to the equation describing radial motion for a classical extensible model of an electron as formulated by Dirac (1962). The general solution can be used in a Bohr-Sommerfeld quantization scheme for both angular momentum and vibrations. It is shown that one cannot satisfy both quantum requirements simultaneously but one or the other can always be satisfied exactly. Dirac considered only the vibration quantization (leading to a definition of the muon) from the point of view of small amplitude oscillations around an equilibrium state and so did not obtain an acceptable mass for the muon and he was silent about the angular momentum requirement.

Keyword: electron, extensible model, Dirac.

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ABSTRACT: We present a brief description of a stationary localized state of arelativistic free particle derived from a Dirac equation with an interaction in one space dimension. This localized state evolves according to the original Dirac equation when the interaction is switched off. The time evolution of the wave packet is found analytically which shows clear asymmetry between the two components that move opposite to each other. There is also an interference part similar to zitterbewegung.

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ABSTRACT: The unitary operator in the Heisenberg picture and the spatial evolution of the quantum system was found by using simple mathematics and the ordinary laws of differentiation and integration. This expression describes successfully the spatial evolution of the quantum operators. The metrics in the curved space is found to be related to the Lorentz transformation coefficient.

Key words: momentum operator, spatial evolution, unitary operator, Einstein metric, Lorentz transformation

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ABSTRACT: The objective of these work is to compare the effect of sun or sunlight on rain drop or rain drop cluster in presence and absence of sun. By comparing of these two condition, we can aware the people for the precaution and safety. Because the effect of rain drop cluster is different in presence and absence of sun. Here, We have develop a mathematical model and compare the acceleration of rain drop cluster towards the gravity in absence and presence of sun for the effect. During the comparison, We found the net acceleration towards the gravity in presence of sun is less than in absence of sun (i.e. aAS>>aPS). Since, we know the force is directly proportional to acceleration keeping mass constant from newton second law of motion, then from our mathematical relation, force......

Key words: Acceleration, Net Acceleration, Force, Presence and Absence of Sun, Rain Drop Cluster etc.

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ABSTRACT: The Ac conductivity of the system Se80S20-xInx where x= 0, 2.5 ,5 is very small under the effect of each frequency and temperature. The exponent factor of the frequency of the Ac conductivity decreases with temperature. The zero value of this exponent at high temperature confirm, the insulating character of these materials. The dielectric constant and dielectric loss of these materials were very high. At high frequency, the dielectric constant becomes temperature independent. The addition of In on the expense of S, decrease the Ac conductivity and increase the dielectric properties of these materials

[1]. The Ac conductivity of the system Se80S20-xInx where (x=0 ,2.5 ,5) was very small under the effect of frequency and under the effect of temperature.
[2]. The exponent factor S of the relation 𝜎=𝐴𝜔𝑠 was decreased as temperature increases, and can be reach zero value at very high temperature.
[3]. The zero value of the exponent factor keep the electric conduction constant at minimum value.
[4]. The dielectric constant and dielectric losses was high and the actual value depending on the sample structure.
[5]. At high frequency, the dielectric propertiesbecomes temperature independent

ABSTRACT: The present study involves the synthesis of Nd3+ doped ZnO nanomaterial by the zinc chloride and neodymium oxide chemical synthesis method. The synthesized nanomaterial was characterized with respect to their crystal structure, crystal morphology, particle size and photoluminescence (PL) properties using X-ray diffraction (XRD), scanning electron microscopy (SEM), transmission electron microscopy (TEM) and PL-spectroscopy respectively. XRD results revealed that ZnO nanomaterial are single phase and spherical type structures. Further, PL spectra of ZnO: Nd3+ nanomaterial show approximate spherical shape to ZnO nanoparticles and the size of the..........

Keywords: Neodymium doped ZnO Nanomaterial, Absorption Spectra, Fluorescence Spectra and Radiative properties

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[5]. Sridhar A., Selvaraj M.and Jayanthi S.S.: Synthesis Of Praseodymium Doped Zno Nanoparticles Using Solvent Free, Eco Friendly Method:Effect Of Doping On The Structural And Optical Properties of ZnO Nanoparticles, International Journal of Innovative Research in Science & Engineering 2347-3207, (2012)

ABSTRACT: Let G = (V, E) be a connected graph with the vertex set V= V(G) and the edge set E = E(G), without loops and multiple edges. In this paper F-index, minus F-index, F-Revan index, F-reverse index and line version of F-index polynomials and their corresponding topological indices for carbon nanocones CNCk[n] are investigated.

Keywords: F-index, F-polynomial, inverse index, molecular graph, nanocones, Revan index, topological index.

[1]. W.Gao and M.R.Farahani, (2016).Computing the reverse eccentric connectivity Index for certain family of nanocone and fullerene structures, Hindawi Publishing Corporation Journal of Nanotechnology Vol.(2016), Article ID 3129561,1-6.
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[3]. M. R. Farahani, M. F. Nadeem, S. Zafar, Z. Zahid,and M. N. Husin, (2017). Study of the topological indices of the line graphs of H-pantacenic nanotubes,New Front.Chem. Volume 26, Number 1, 31-38.
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ABSTRACT: Spinning particles are simulated by a whirlpool model. Because the momentum P of the spinning particle is proportional to the mass m and the spin frequency ν of the particle, therefore P = Kmν = KmC/λ = mh0/λ (where h0 is named General Planck Constant), De Broglie Wavelength λ = mh0/P, and Planck constant h= myyh0 (where myy is the mass of a photon or a Wu's Pair). Furthermore, De Broglie wavelength, momentum and energy of the electron in Bohr Model are calculated. As a result, all Planck constant h in the old formula are replaced by (me/myy)h such that in the new version, De Broglie wavelength λ = (me/myy)h/P, momentum P = me(KZe2)/(nħ)(me/myy) and energy E = - ½me(KZe2)2/(n2ħ2) (me/myy)2

Keywords: De Broglie Waves, Matter Waves, Wave Particle Duality, Photon, Electron, Spin, Planck Constatnt, Yangton and Yington, Wu's Pairs.

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ABSTRACT: The aim of this study was to measure radon (222Rn)concentrations, a decay product of long-lived naturally occurring radioactive elements, in different carbonated drinks sold in Lagos-traffic, Nigeria and to calculate the annual effective dose. Radon concentration in the studied samples was measured using RAD7 detector, an electric radon detector. The lowest radon concentrations in the carbonated drink samples ranged from 0.037 ±0.016 𝐵𝑞.𝑙−1to 0.092 ± 0.009 𝐵𝑞.𝑙−1, with an average value of 0.071 ± 0.012 𝐵𝑞.𝑙−1; this contributed an annual effective dose of 0.015 ± 0.0013 𝑚𝑆𝑣.𝑦−1to 0.038 ± 0.0025 𝑚𝑆𝑣.𝑦−1, with an average value of 0.029 ± 0.0016........

Keywords: annual effective dose, carbonated drinks, Lagos traffic, radon, RAD7.

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