On the Structure of the Bäcklund Transformations for the Relativistic Lattices

The Relativistic Effects on the Violation of the Bell's Inequality for Three Qubit W State

In this paper we are going to calculate the correlation function and Bell'sinequality for three qubit W state under the Lorentz transformations. This survey is basedon the introduction of two different expressions of spin observable were presented byLee-Young and Kim-Son.

On generalized topological molecular lattices

In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices,  topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and defi...

Variational Calculations for the Relativistic Interacting Fermion System at Finite Temperature: Application to Liquid 3He

In this paper, at first we have formulated the lowest order constrained variational method for the relativistic case of an interacting fermion system at finite temperature. Then we have used this formalism to calculate some thermodynamic properties of liquid in the relativistic regime. The results show that the difference between total energies of relativistic and non-relativistic cases of liqu...

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

Bilinear Forms of Integrable Lattices Related to Toda and Lotka-Volterra Lattices

Hirota’s bilinear technique is applied to some integrable lattice systems related to the Bäcklund transformations of the 2DToda, Lotka-Volterra and relativistic LotkaVolterra lattice systems, which include the modified Lotka-Volterra lattice system, the modified relativistic Lotka-Volterra lattice system, and the generalized BlaszakMarciniak lattice systems. Determinant solutions are constructe...