Potential theory Definition and 12 Threads

Hi, this was one of the oral exam questions my teacher asked so i tried to solve it. Consider y>0 the energy spectrum here is continuous and non degenerate while for y<0 the spectrum is discrete and non degenerate because E<0. for y>0 i thought of 2 cases case 1 there is no wave function for...

This question consists of two parts: preliminary and the main question. Reading only the main question may be enough to get my point, but if you want details please have a look at the preliminary. PRELIMINARY: Let potential due to a small volume ##\delta## at a point ##(1,2,3)## inside it be...

The potential of a dipole distribution at a point ##P## is: ##\psi=-k \int_{V'} \dfrac{\vec{\nabla'}.\vec{M'}}{r}dV' +k \oint_{S'}\dfrac{\vec{M'}.\hat{n}}{r}dS'## If ##P\in V'##, the integrand is discontinuous (infinite) at the point ##r=0##. So we need to use improper integrals by removing...

hi :) http://ocw.mit.edu/courses/mechanical-engineering/2-017j-design-of-electromechanical-robotic-systems-fall-2009/course-text/MIT2_017JF09_ch06.pdf In page 37 they use Newton's 2nd law for a fluid element (while ignoring viscous forces) to derive the bernoulli equation for unsteady flow...

Hello! My book (fluid mechanics by White) doesn't explain the formulas it uses for finding geometric information about a potential field. For instance, sometimes if a stream-function is kept constant it, will form a figure like the one in this picture...

There's no electric field inside a conductor, a classic observation of electrostatics. Any field that "should" exist is compensated for by charge redistribution on the surface of the conductor. This produces classic results like shielding since in a hollow conductive shell, the field is still...

Alright, so there is a very basic theory involving capacitors and electric potential that is throwing me off. I have a very basic problem here: http://img444.imageshack.us/img444/2251/73619554.png Assume the switch is closed and the capacitor is fully charged. From here I'm prompted to find...

Homework Statement we all know to measure g.p,e(gravitational potential enery) we would likely to use g.p.e = mgh, however from the theory of Newton gravitational potential energy theory, g.p.e = G\frac{m1m2}{r}, my lecturer told me that mgh is not equal to G\frac{m1m2}{r} Homework...

Given n (finite) point charges in the xy-plane, is it possible to have a curve (in the plane) along which the electrostatic force vanishes (F=0)? I know that it's possible to have a curve through space along which the force vanishes when all of the charges are in the plane. For instance...

A couple of electric potential "theory" problems OK, so let's say Person A is on Planet A, where the ground potential is 1,000,000 V. Person A touches an object insulated from ground at a potential of 1,000,001 V. Person B is on Planet B, where the ground potential is 0 V. Person B touches...

Hello, I have a problem with an exercice of potential theory, and don't know how to continue. The ecuations are this: \Phi {\left ( \nabla \frac{{\partial }}{{\partial t}} + \nabla (c· \nabla) \right ) = {\left ( - \frac{{\partial (c· \nabla)}}{{\partial t}} - \frac{{\partial^2...

Dear friends, I need to know, in the theory of the potential, what must I do to study the caracteristics of this formulae: 0=\vec{v} [\nabla \vec{j}+ \frac{ \partial \vec{D}}{\partial t} ]+ [\nabla \vec{D} \frac {\partial \vec{v}}{\partial t} ]+ \nabla \vec{D} (\vec{v} \nabla ) \vec{v}...