A function satisfying this equation is multiplied by the wavefunction in a modification of the Schrödinger equation named for Newton. The time-independent KleinGordon equation reduces to a version of this equation whose solutions are given by sums of Yukawa potentials. An extension of this equation is used to model solutions in which the charge density follows a Boltzmann distribution, and adds exponential terms to one side. A special case of this equation can be numerically solved by iterative
A function satisfying this equation is multiplied by the wavefunction in a modification of the Schrödinger equation named for Newton. The time-independent KleinGordon equation reduces to a version of this equation whose solutions are given by sums of Yukawa potentials. An extension of this equation is used to model solutions in which the charge density follows a Boltzmann distribution, and adds exponential terms to one side. A special case of this equation can be numerically solved by iteratively updating the value of a function on each point of a grid by (*) averaging over its value at neighboring points in the relaxation method. That special case of this equation is satisfied by harmonic functions and is known as Laplace's equation. For 10 points, name this second-order partial differential equation that states del-squared of the potential equals negative free-charge density over epsilon.
A function satisfying this equation is multiplied by the wavefunction in a modification of the Schrödinger equation named for Newton.