we calculate the stopping power for heavy-ion diclusters moving in a strongly coupled two-dimensional electron gas system by using the local field corrected dielectric function at finite temperature. we obtain a parameterized local field correction factor based on a relation between the thermal compressibility and exchange-correlation energy in two-dimension. the interpolated parameter is deriv...

In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave f...

‎The object of the present paper is to study spacetimes admitting‎ ‎quasi-conformal curvature tensor‎. ‎At first we prove that a quasi-conformally flat spacetime is Einstein‎ ‎and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying‎ ‎Einstein's field equation with cosmological constant is covariant constant‎. ‎Next‎, ‎we prove that if the perfect flui...

Streaming is a model where an input graph provided one edge at time, instead of being able to inspect it will. In this work, we take parameterized approach by assuming vertex cover the given, building on work Bishnu et al. [COCOON 2020]. We show further potency combining parameter with Adjacency List streaming obtain results for deletion problems. This includes kernels, algorithms, and lower bo...

Let U and A be algebras over a field k. We study algebra structures H on the underlying tensor product U⊗A of vector spaces which satisfy (u⊗a)(u′⊗a′) = uu′⊗aa′ if a = 1 or u′ = 1. For a pair of characters ρ ∈ Alg(U, k) and χ ∈ Alg(A, k) we define a left H-module L(ρ, χ). Under reasonable hypotheses the correspondence (ρ, χ) 7→ L(ρ, χ) determines a bijection between character pairs and the isom...