Explanation of Pressure Effect for High Temperature Superconductors Using Pressure Dependent Schrodinger Equation and String Theory

Abstract

A pressure dependent Schrodinger equation is used to find the conditions that lead to superconductivity. When no pressure is exerted, the superconductor resistance vanishes beyond a critical temperature related to the repulsive force potential of the electron gass, where one assuming the electron total energy to be thermal, where applying mechanical pressure destroys Sc when it exceeds a certain critical value. However when the electron total energy is an assumed to be that of the free electron model and that the pressure is thermal and mechanical, the situation is different. The quantum expression for resistance shows that the increase of mechanical pressure increases the critical temperature. Such phenomenon is observed in high temperature cupper group.

Coupled inhomogeneous nonlinear Schrödinger system with potential in three space diemensions

“…The second case is $$$ \tau =\mathcal{V}=0 $$$, which corresponds to the nonlinear Schrödinger coupled system. It describes nonlinear modulations of monochromatic waves whose group velocities are almost equal [6, 7].…”

On the blow‐up for nonlinear Schrödinger equation with inhomogeneous perturbation

“…Here $$$ 1<p<1+\frac{4-2b}{N},0<b<\min \left\{2,N\right\},N\ge 1,u=u\left(t,x\right):\left[0,T\right)\times {\mathrm{\mathbb{R}}}^N\to \mathrm{\mathbb{C}} $$$ is a complex‐valued wave function, $$$ 0<T\le \infty $$$ and $$$ \Delta ={\sum}_{j=1}^N\frac{\partial^2}{\partial {x}_j^2} $$$ is the Laplace operator on $$$ {\mathrm{\mathbb{R}}}^N $$$. The Equation () is a nonlinear optical system with spatially correlated interactions [1], which models the beam propagation in nonlinear optics and plasma physics [2, 3]. We are interest in the dynamical properties of blow‐up solutions and the existence problem of the minimal blow‐up solution.…”

“…is the Laplace operator on R N . The Equation ( 1) is a nonlinear optical system with spatially correlated interactions [1], which models the beam propagation in nonlinear optics and plasma physics [2,3]. We are interest in the dynamical properties of blow-up solutions and the existence problem of the minimal blow-up solution.…”

Theoretical Study on the Effect of Multiband Structure on Critical Temperature and Electronic Specific Heat in SmOFeAs Iron Pnictide Superconductor

“…Mohamed et al have explained pressure effect for HTS using pressure dependent Schrodinger equation and string theory [39]. With this motivation in mind, T c and C es of SmOFeAs compound [40] [41] [42] [43] is investigated using a MB model, employing Green's function technique and the results are compared with experimental values.…”