In this paper, we obtain some characterizations for a Frenet curve with the help of an alternative frame different from frame. Also, in present study consider weak biharmonic and harmonic 1-type curves by using mean curvature vector field curve. We also whose is kernel Laplacian. give theorems them Euclidean 3-space. Moreover, classifications these type curves.

We elaborate the idea that matrix gauge theories provide a natural framework to describe identical particles. After demonstrating the general prescription, we study an exactly solvable harmonic oscillator type gauged matrix model. We show the model gives a generalization of the Sutherland system where the strength of the inverse square potential is not fixed but dynamical bounded by below. ∗Ele...

In this paper we develop the formalism to study superforms in N=2 harmonic superspace. We perform a thorough (if not complete) analysis of the superforms starting from 0-form and moving all the way up to 6-form. Like the N=1 case we find that the lower superforms (0,1,2,3) describe the various important N=2 supermultiplets. Also, the forms form chains, the field strength of 0-form being related...

We construct unramified central simple algebras representing 2-torsion classes in the Brauer group of a hyperelliptic curve, and show that every 2-torsion class can be constructed this way when the curve has a rational Weierstrass point or when the base field is C1. In general, we show that a large (but in general proper) subgroup of the 2torsion classes are given by the construction. Examples ...

In this brief note, we prove the following two Artin-Schreier curves are supersin-gular.

The multidimensional topography of the collective potential energy function of a so-called strong glass former (silica) is analyzed by means of classical molecular dynamics calculations. Features qualitatively similar to those of fragile glasses are recovered at high temperatures : in particular an intrinsic characteristic temperature T c ' 3500K is evidenced above which the system starts to in...

We simulate the transformation of a classical fluid into a quantum-like (super)-fluid by the application of a generalized quantum potential through a retroactive loop. This numerical experiment is exemplified in the case of a non-spreading oscillating wave packet in a harmonic potential. We find signatures of a quantum-like behavior which are stable against various perturbations.

In this paper we describe the moduli spaces of degree d branched superminimal immersions of a compact Riemann surface of genus g into S4. We prove that when d ≥ max{2g, g + 2}, such spaces have the structure of projectivized fibre products and are path-connected quasi-projective varieties of dimension 2d − g + 4. This generalizes known results for spaces of harmonic 2-spheres in S4. In the Cala...

We illustrate an iterative method for retrieving the internuclear separations of N2, O2 and CO2 molecules using the high-order harmonics generated from these molecules by intense infrared laser pulses. We show that accurate results can be retrieved with a small set of harmonics and with one or few alignment angles of the molecules. For linear molecules the internuclear separations can also be r...

For ensemble of bosons trapped in a 1D harmonic potential well we have found an analytical formula for the canonical partition function and shown that, for 100 trapped atoms, the discrepancy between the grand canonical and the canonical predictions for the condensate fraction reaches 10% in the vicinity of the Bose-Einstein threshold. This discrepancy decreases only logarithmically as the numbe...