A second-order differential equation is derived for the electric potential of an electron system with slowly varying density. It includes consistently the first-gradient corrections to both the kinetic energy and the exchange energy. In the regime of high density, the equation reduces to the one ...
Experienced Physics Teacher for Physics Tutoring See tutors like this V(x,y,z) = electric potential as a function of x,y, and z E(x,y,z) = electric field vector as a function of x,y, and z E = -∇V = -[(∂V/∂x)i + (∂V/∂y)j + (∂V...
Electric Potential Equation For any point charge Q, there always exists an electric field in the space surrounding it. If another charge q is brought from infinity (far away) and placed in the electric field of the charge Q, then the electric potential energy (E.P.E.) for the system of...
Wave Functions and Effective Hamiltonian for Bloch Electrons in an Electric Field Following up an earlier communication, wave functions are constructed which satisfy the Schr枚dinger equation for a potential which is a sum of a periodic and a uniform field term. The wave functions are Houston modif...
However, since E and B in nonmagnetic media are related by the third Maxwell equation in (1), this constitutive equation, which should account for the material properties of the medium, can be reduced down to functional relationship between electric displacement D and electric field strength E. ...
Vekua equationEmploying quaternionic analysis and pseudoanalytic functions, we study the massive Dirac equation with electric potential, utilizing one relation with a hyper-complex Vekua equation, from which it is possible to obtain a new class of solutions, considering the elements of the so-...
In Equation (1.46), m is the system mass and e is the total specific energy defined by Equation (1.44). The total energy of a flowing matter (θ) which represents the sum of internal energy, flow work, kinetic energy, and potential energy is introduced by Equation (1.46). As can be ...
我有两个问题请教一下：①MHD模块能直接加电场吗？②MHD中magnetic induction equation和electric potentia...
In Newton's theory, "mass" and "energy" are names for different physical quantities. In SR, the concept of "relativistic mass" visualizes best, via E=mc2 in all inertial frames, that "mass" and "energy" can be regarded as two names for exactly the same physical quantity. That ...
For LSC, R was assumed to be proportional to pO2δ2 that represents probability of O2-vacancy pair to meet another vacancy as the rate controlling factor. In addition to chemical driving force, Fleig [26] argued a possible effect of an electric field, χ, formed on the surface of an ...