η\eta-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians

A class of spherically symmetric non-Hermitian Hamiltonians and their \eta-weak-pseudo-Hermiticity generators are presented. An operators-based procedure is introduced so that the results for the 1D Schrodinger Hamiltonian may very well be reproduced. A generalization beyond the nodeless states is proposed. Our illustrative examples include \eta-weak-pseudo-Hermiticity generators for the non-Hermitian weakly perturbed 1D and radial oscillators, the non-Hermitian perturbed radial Coulomb, and the non-Hermitian radial Morse models.Comment: 14 pages, content revised/regularized to cover 1D and 3D case

PT-symmetric Solutions of Schrodinger Equation with position-dependent mass via Point Canonical Transformation

PT-symmetric solutions of Schrodinger equation are obtained for the Scarf and generalized harmonic oscillator potentials with the position-dependent mass. A general point canonical transformation is applied by using a free parameter. Three different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.Comment: 13 page

Investigation of Some Physical Properties of Accretion Induced Collapse in Producing Millisecond Pulsars

We investigate some physical characteristics of Millisecond Pulsar (MSP) such as magnetic fields, spin periods and masses, that are produced by Accretion Induced Collapse (AIC) of an accreting white dwarf (WD) in stellar binary systems. We also investigate the changes of these characteristics during the mass-transfer phase of the system in its way to become a MSP. Our approach allows us to follow the changes in magnetic fields and spin periods during the conversion of WDs to MSPs via AIC process. We focus our attention mainly on the massive binary WDs (M > 1.0Msun) forming cataclysmic variables, that could potentially evolve to reach Chandrasekhar limit, thereafter they collapse and become MSPs. Knowledge about these parameters might be useful for further modeling of the observed features of AIC.Comment: 9 Pages, 4 figure

Spin Down of Rotating Compact Magnetized Strange Stars in General Relativity

We find that in general relativity slow down of the pulsar rotation due to the magnetodipolar radiation is more faster for the strange star with comparison to that for the neutron star of the same mass. Comparison with astrophysical observations on pulsars spindown data may provide an evidence for the strange star existence and, thus, serve as a test for distinguishing it from the neutron star.Comment: 6 pages; Accepted for publication in Astrophysics and Space Scienc

Interpretation of Gas Analysis Results for Reopening a Sealed-off District and Detecting Spontaneous Heating

A correct interpretation of gas-analyses results is essential for reopening a sealed-off district or detection of spontaneous heating. The authors review here the methods adopted for the purpose. The advantages and disadvantages of different methods are noted

Disappearance of Carbon Monoxide in Coal Mines

The disappearance of carbon monoxide in mines is vitally linked with the study of underground fires it is not yet known whether the cause for such disappearance is chemical or bacterial. The authors’ investigation tends to indicate that bacteria play a major part in CO disappearance. Two coals of different ranks were studied and the rate of disappearance of CO was found to be practically the same for both. It was also observed that CO disappears faster over wet coals than over dry coals and a certain amount of time is always required before CO starts disappearing

Dynamic effects in various rock mass and their prediction

Dynamic effects in terms of ground vibrations due to blasting are an undesirable side-effect of the use of explosives to fragment rock for mining, excavation, quarring, and construction. When an explosive charge is detonated in a blast hole, large volume of gas is released instantaneously at high temperature and pressure producing shock waves and heaving effects during rock breakage. The energy liberated is only partially utilsed for breaking the rock and a part of the energy is transmitted to the surrouding rock mass in the form of elastic and or seismic waves. The seismic energy or ground vibration is usually described as a time-varying displacement, velocity or acceleration of a particular point in the ground. The paper describes in detail, the results and findings of statistical analysis of data recorded during blasting in various rock mass in situ including limestone (fissured and highly jointed), sandstone-alluvium, iron ore, basalt (closely jointed), sandstone (weathered), dolomite and granite (hard and fresh, soft and weathered, hard and soft mixed). The analysis considered nine different forms of empirical relations in predicting ground vibrations by blasting. The relations include a general form and inelastic attenuation. For a better understanding of the relations, all ‘simple’ and ‘partial’ regression coefficients as well as ‘simple’ and ‘partial’ correlation coefficients are obtained by the regression analysis of two independent variables. Numerical computations are done using a micro-computer. The required amount of specific charges are obtained for a wide range of peak particle velocity and distance of the measuring transducer. Important discussion are also included with a view to predict dynamic effects. A few relations were suitable for certain rock mass whereas other were unsuitable. The controlling factor was the nature of rock mass. In authors’ view the findings would be helpful in designing blasting patterns to protect nearby structures. Case studies and results obtained are included in the paper