Momentum space properties from coordinate space electron density

Electron density and electron momentum density, while independently tractable experimentally, bear no direct connection without going through the many-electron wave function. However, invoking a variant of the constrained-search formulation of density functional theory, we develop a general scheme (valid for arbitrary external potentials) yielding decent momentum space properties, starting exclusively from the coordinate space electron density. Numerical illustration of the scheme is provided for the closed-shell atomic systems He, Be and Ne and for $1s^1~2s^1$ singlet electronic excited state for Helium by calculating the Compton profiles and the $$ expectation values derived from given coordinate space electron densities.Comment: 4 pages, 1 figur

Supergrassmannian and large N limit of quantum field theory with bosons and fermions

We study a large N_{c} limit of a two-dimensional Yang-Mills theory coupled to bosons and fermions in the fundamental representation. Extending an approach due to Rajeev we show that the limiting theory can be described as a classical Hamiltonian system whose phase space is an infinite-dimensional supergrassmannian. The linear approximation to the equations of motion and the constraint yields the 't Hooft equations for the mesonic spectrum. Two other approximation schemes to the exact equations are discussed.Comment: 24 pages, Latex; v.3 appendix added, typos corrected, to appear in JM

Growth Stress Induced Tunability of Dielectric Constant in Thin Films

It is demonstrated here that growth stress has a substantial effect on the dielectric constant of zirconia thin films. The correct combination of parameters - phase, texture and stress - is shown to yield films with high dielectric constant and best reported equivalent oxide thickness of 0.8 nm. The stress effect on dielectric constant is twofold, firstly, by the effect on phase transitions and secondly by the effect on interatomic distances. We discuss and explain the physical mechanisms involved in the interplay between the stress, phase changes and the dielectric constant in detail.Comment: 11 pages, 5 figure

Studies on Aluminothermic Reduction of Manganese ore for Ferro-Manganese Making

It is well known that lowering the carbon content offerro-alloy increases the value of the metal. This grade of ferro-alloy results in lowering the cost of production in steel melting stage. Alurninothermic process produces carbon free ferro-alloys. In this paper, details of investigations onferro-manganese making are given.- Influence ofpre-reduction of manganese ore to Mn7O3 and Mn .,stage, excess aluminium overstoichiometric requirement, addition of fluxes etc., on metal yield is discussed. Metal yield of 58-64% on 10 kg scale with alloy composition of Mn-83%, Fe-13%, Si-1.4 to 2%, Al-0.008% and P-0.16% has been successfully achieved at the Laboratory

Physico-Chemical Characterisation of Lateritic Nickel Ores of Sukinda, Orissa

The only nickel ore deposit of significance in India occurs in the chrorniferous ultramafic complex ofSukinda, Orissa. It is a lateritic nickel o re deposit with a reserve of about 150 million tonne having cut-off grade of 0.05% Ni. The processing of this ore is difficult due to ultrafine nature ofgeothite, low content of nickel in the ore (max. 1.5% Ni), complex intergrowths of goethite with quartz, talc, kaolinite and magnetite and abrupt variation of nickel content in the ores in horizontal and vertical profiles. In this study the results of detailed investigations to characterise five bulk samples collected from different sectors of Sukinda-Kansa, TISCO and OMC are discussed.The techniques used for characterisation include granulometric study, optical microscopy, X-ray diffraction, thermal analysis, scanning electron microscopic, infrared studies, electron probe microanalysis, leaching experiments and chemical analyses. This study indicates that the nickel is not present as discrete minerals but mostly associated with goethite. Kansa ore has goethite as major mineral (90%) whereas the other samples contain significant amount of free quartz along with variable amount of chromite,hematite,magnetite, talc, serpentine and kaolin. The fine grained goethite is amorphous to quasi-amorphous in nature. Mineralogy and chemistry of the samples indicate that goethite. Fe and Ni are invariably enriched in the finer size fractions. Electron probe microanalyses indicate that nodular goethire and chromite are Ni-poor (<0.2% Ni) whereas lithiophorite and magnetite contain 11% and 0.9% Ni respectively- The results of the sequential leaching studies involving oxalic, sulphuric and hydrochloric acids indicate three types of association of nickel in goethite: a part with amorphous goethite (ferrilivdrite), a part in weak/A- bonded nature and a part as lattice bound state in goethite . The laterite ore is thus proved to be of comple x in nature which creates problem for liberation of the constituent minerals based on the srnface properties. Classification down to silt size fraction increases the Ni content to about 1.0% in the material. These ores have been succes.sful/v tested on pilot plant scale for extraction of nickel metal by reduction roasting followed by arnnrotriut)r - atnmonicrcal leaching and electrowinnin

Symmetries of Large N Matrix Models for Closed Strings

We obtain the symmetry algebra of multi-matrix models in the planar large N limit. We use this algebra to associate these matrix models with quantum spin chains. In particular, certain multi-matrix models are exactly solved by using known results of solvable spin chain systems.Comment: 12 pages, 1 eps figure, RevTex, some minor typos in the publised version are correcte

Renormalization in Quantum Mechanics

We implement the concept of Wilson renormalization in the context of simple quantum mechanical systems. The attractive inverse square potential leads to a \b function with a nontrivial ultraviolet stable fixed point and the Hulthen potential exhibits the crossover phenomenon. We also discuss the implementation of the Wilson scheme in the broader context of one dimensional potential problems. The possibility of an analogue of Zamolodchikov's $C$ function in these systems is also discussed.Comment: 16 pages, UR-1310, ER-40685-760. (Additional references included.

Perl module and PISE wrappers for the integrated analysis of sequence data and SNP features

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