[en] Two of the structural functions, static pair correlation function of electrons around positively charged particles and static structure factor, have been theoretically calculated for a one dimensional quantum system with two mobile components occupying same charge density at equal temperatures. The structural functions have been investigated for their density and mass dependence. The reported values of static pair correlation function and structure factors are found to be dependent upon linear density and mass of positive components. Static pair correlation functions for a wide range of temperature, 100K≤T≤ 1500K, has also been generated theoretically. A variation, though diminutive, with temperature has been observed. (author)

[en] The bosonic string potential model proposed by Nambu and Goto contains Coulombic Lüscher term, which is a function of the space-time dimension ‘d’. In this work, some novel features of QCD-String mapping, if the colour-cum-flavour dependent coefficient of the QCD coulomb potential and the Luscher coefficient in d space-time dimension are conjectured to be equivalent have been reported

[en] The diffusion quantum Monte Carlo method has been applied to investigate the effect of a strong magnetic field on the few-electron atoms. Gaussian type orbital basis sets are used in the computations developed by using Post-HartreeFock methods. The ground state energy Eigenvalues of the helium, lithium, beryllium, and boron atoms have been calculated. The advantages of adding the electrons correlations to the wave function in the technique of diffusion Monte Carlo method enabled to solve the Schrödinger equation for these atoms in the external magnetic field for different strengths. The method showed good agreements with the previous results

[en] The Co-Ni ferrites with general formula Co_1-xNi_x Fe₂O₄ (where x=0.0, 0.05, 0.10) were prepared by solid state root method. The X-ray diffraction and X-ray, K- absorption near edge measurement were carried out. XRD shows the structure of sample is the cubic with the help of PCPDF win/ JCPDS-ICDD 1997. (author)

[en] Extended X-ray absorption fine structure data at the K-edge for three cobalt compounds viz., cobalt sulphate (I), cobalt nitrate (II) and cobalt chloride (III) have been analyzed for the estimation of phase parameters alpha1, beta1 and delta1. On the basis of our studies it may be concluded that backscattering phase shift and the total phase shift varies with the change in ligands. The total phase shift values for the presently studied compounds exhibit a linear variation with wave vector k. Average bond distances have been obtained for the samples studied using Levy's and Lytle, Stern, Sayers (LSS) method. The present method of determination of phase parameters using the graphical technique is simple and comparable to the other theoretical methods. (author)

[en] Proton induced X-ray emission (PIXE) by proton beam is one of the very important technique to find out concentration of element present in the sample. Elemental analyses of low Z element by K-X-ray and heavy element (28 < Z < 92) is being done by L-shell X-ray for this, reliable values of K and L, X-ray production cross-sections are important. The quantity of the element is directly related to K and L- shell X-ray production cross section. In present work K and L X-ray production cross section has been calculated to remove discrepancy between theory and available experimental data, by ECPSSR theory for target for Cr, Zn and Pb with correction of recoil energy of the proton in energy range 1.0-1.3 MeV. In ion- atom collision, although the recoil energy for low mass ions is not significant but we have seen a significant effect of recoil energy of proton in K and L shell X-ray production cross-section. (author)

[en] In the present work we have worked out a vector model for spontaneous emission based on the principle of moving vectors. This simplified approach reflects the work of Weisskopf and Wigner. Normalized probability of a transition to an upper level versus detuning has been plotted. Further we have shown that the areas which have been generated at phasor diagrams in different values of decay constants for moving vectors are directly proportional to time. This is a manifestation of Fermi's Golden rule. Fermi's Golden Rule in quantum mechanics is well known. But it is for the first time that we have worked out the concept of moving vectors using the transition probabilities and the concept of phasor diagrams to represent the Fermi's Golden rule. (author)

[en] On extracting the data obtained from IAEA-NDS-2019, for study the nature of the single proton-neutron reaction and single proton-2 neutron reaction, narrowband range of cross-section area, and energy presence is seen. The narrowband region is seen, when the cross-section area is on decreasing order with increasing the energy of incidence particle. This narrowband helps to exchange the cross-section area of the element in each reaction. The sharpness of the graph in a single proton-neutron reaction shows that vibration energy after absorption of incidence particle on target is absent while in single proton-2 neutron reaction is present due to which the graph of single proton-2 neutron reaction is fattened. The cross-section area of the single proton-2 neutron reaction is greater than the single proton-neutron reaction and energy for the single proton-neutron reaction is less than a single proton-2 neutron reaction. (author)

[en] This commentary reflects on the second postulate of special theory of relativity on advent of Michelson-Morley experiment. Of course the experiment could not complete the task doesn’t mean that the velocity of light is not relative though it is finite. The property of the aether or even of vacuum which permits body to have uniform motion without any resistance may play significant role in maintaining the speed of light constant with respect to which is a subject of our investigation and could produce null results in Michelson-Morley experiment. Our attempt is to discover the influence of motion of source on the velocity of light first when both velocities are perpendicular to each other and second when both are parallel. The investigation shows that the light velocity is constant with respect to its source, however, when the source comes in motion; its velocity gets vectorially added to the velocity of light as it happens for all bodies. Moreover the starlight aberration surprisingly supports to the first case which is circumvented yet. In Michelson-Morley experiment, the light source was always rest with respect to the apparatus consequently the speed of light was constant with respect to the apparatus giving no shift in the fringes. (author)

[en] The spectral behavior of a random lasing system is calculated using numerical calculations. The random lasing system comprises of TiO₂ powder dispersed in Rhodamine 6 G dye solution. In the present work, the random lasing action is simulated by using lucky-photon model, which does not take into account the interference effect. By tracking individual photon and repeating the same several times, we found that the intensity fluctuation at a particular wavelength shows Levy like distribution with power law parameter m = 1.62. Some exponential decay is observed at higher output intensity, which is yet need to be resolved. Results show that with increasing particle diameter intensity decreases and intensity is higher for higher particle density. The difference between them decreases as an increase in the particle diameter. (author)