[en] We investigate exact fourth order invariants for one-dimensional time dependent dynamical systems by extending the approach of Struckmeier and Riedel (Phys Rev Lett 85:3833, 2000). The invariants contain a function of time f4(t), which is a solution of a linear fourth order differential equation. (author)

[en] An appraisal of the 1977-78 regional reconnaissance geochemical data obtained under the Central Belt Project indicated that the Boundary Range Granite, the Senting Granite, and the Benom Igneous Complex appear to constitute favourable uranium exploration targets. Results of the airborne survey subsequently flown within the Project area in 1980 showed high radiometric responses over these and other granitoids. Recent follow-up of a multi-element geochemical anomaly over the Boundary Range Granite has resulted in the discovery of some uraninite-bearing boulders and an abnormally radioactive iron-stained quartz vein containing uranium-bearing rhabdophane and florencite. Yet another potential target appears to be the Main Range Granite. Although not within the Project area, it has the distinction of hosting the first recorded uranium occurrence in Peninsular Malaysia. Contrary to earlier belief, the importance of the continental Mesozoic Tembeling and Cagau Groups as possible uranium hosts has been reduced, judging from the poor airborne radiometric response and the overall low geochemical results. On the other hand the Tertiary basins, not previously accorded attention, should be assessed. (orig.)

[en] Exact fourth-order constants of motion are investigated for three-dimensional classical and quantum Hamiltonian systems. The rationalization method is utilized to obtain constants of motion for classical systems. Constants of motion for quantum systems are obtained by adding quantum correction terms, computed using Moyal's bracket, to the corresponding classical counterparts. (author)

[en] The solution of the non-relativistic radial Schrödinger equation (SE) with spherical symmetrical potentials plays an important role in atomic and hadronic spectroscopy. The non-relativistic quark model is commonly employed for knowing the behavior of heavy hadron. The non-relativistic approximation is good for obtaining the mass spectra of heavy mesons consisting of heavy quark and antiquark (Υ(bb-bar), (ψcc-bar)). This approximation provides a good description of static properties of heavy mesons such as mass spectra, radios etc. while for dynamical properties such as decay, the relativistic corrections are considered. The interaction potential for these system is of Cornell type i.e. Coulomb plus linear terms. The Coulomb term is to be liable for the interaction at small distances and linear term leads to the confinement. This type of interaction potential is accompanied by lattice quantum chromodynamics calculations. The quark-antiquark interaction has also been studied using Coulomb plus power potential

[en] We have identified the nuclei in the Te- and Xe-isotopic chains lying close to the critical point, through which the shape phase transition occurs, by using the sextic oscillator potential formalism. It has been found that ¹¹⁰Te, ¹²⁴Te, and ¹²⁴Xe isotopes are the most promising candidates for the critical-point nuclei slightly above the Z = 50 proton shell closure.

[en] In this paper, we have obtained exact 1-soliton solutions of complex modified KdV equation with variable—coefficients using solitary wave ansatz. Restrictions on parameters of the soliton have been observed in course of the derivation of soliton solutions. Finally, a few numerical simulations of dark and bright solitons have been given. (author)

[en] Keeping in view the importance of dynamical invariants, attempts have been made to investigate complex invariants for two-dimensional Hamiltonian systems within the framework of the extended complex phase space approach. The rationalization method has been used to derive an invariant of a general nonhermitian quartic potential. Invariants for three specific potentials are also obtained from the general result. (author)

[en] This investigation reports on room temperature ferromagnetism in pristine and C ion implanted CeO₂ thin films deposited on Si (111) substrates by the radio frequency (RF)-sputtering method. X-ray diffraction analysis shows that the face-centered cubic (FCC) structure corresponds to CeO₂. The Raman spectra further confirm the formation of phase and also indicate the presence of defects, mainly oxygen vacancies, in these films. The presence of C is evident from Rutherford backscattering studies. Atomic force microscopy images indicate that the surface roughness values of the films reduce after C ion implantation. It is observed that the magnetic properties in CeO₂ thin films are enhanced by C ion implantation. The saturation magnetization of the pristine film increases from ∼7 emu cm⁻³ to ∼27 emu cm⁻³ for a fluence of 6 × 10¹⁶ ions cm⁻². It is also observed that the coercivity values change after C ion implantation and reduce for a film with an ion fluence of 6 × 10¹⁶ ions cm⁻² compared with other films. Mechanisms such as the F -center exchange (FCE) model are considered when attempting to understand the enhanced ferromagnetism of C ion implanted CeO₂ thin films. (paper)

[en] In the present work, we report the structural and dielectric properties of Cu doped CeO_2 compounds synthesized by solid state reaction method. X-ray diffraction study confirms the formation of cubic phase with Fm-3m space group corresponding to fluorite CeO_2 structure. The crystallite size was found to decrease with Cu concentration. Furthermore, the dielectric measurements were carried out by varying frequency in the temperature range of 120 to 380 K. It has been found that the increase in Cu concentration in the host lattice leads to an enhancement in dielectric constant.

[en] Present study reports the structural and dielectric properties of Ce_1_-_xMn_xO_2 (0 ≤ x ≤ 0.15) compounds synthesized by solid state reaction method. X-ray diffraction and Raman measurements confirm the formation of cubic phase corresponding to Fm3m space group for all these compositions investigated. The transition metal Mn ions exhibit multivalency nature in oxides and doping these ions at Ce sites in CeO_2 which is also known to exist in 3+ and 4+ valency state is expected to modify the physical properties. The crystallite size was found to decrease with Mn concentration up to 7%, however, it increases at higher Mn concentration i.e., x = 0.15 which is also confirmed by the images from Scanning Electron Microscope. Raman study reveals red shift in peaks at ∼462.9 cm"−"1 and ∼572.9 cm"−"1 upto x = 0.07, whereas the blue shift was observed from these peaks for x = 0.15. The electrical resistivity measured as a function of temperature (200 K–380 K) indicates an increase in resistivity with Mn doping. Furthermore, the dielectric measurements performed with varying frequency as well as temperature shows an enhancement in dielectric constant and decrease in the dielectric loss with Mn concentration. - Highlights: • Influence of Mn ions on the structural, electrical and dielectric properties of CeO_2 was investigated. • The crystallite size and grain size decreases with Mn doping into CeO_2 matrix. • The dielectric constant and resistivity of samples increases with Mn doping into CeO_2 lattice. • The dielectric loss decreases with Mn doping into CeO_2.