Overlap Definition and 73 Threads

Homework Statement Two spheres, each of radius R and carrying uniform charge densities +\rho and -\rho, respectively, are placed so that they partially overlap. Call the vector from the positive centre to the negative centre \vec{d}. Show that the field in the region of overlap is constant...

There is a basic mis-match in the way GR and QM picture space. In GR, space bends to produce mass and gravity. In QM, space is a nuetral background for the actions of particles and force fields. Most recent work attempts to extend the QM/QED/QCD model to explain gravity. The opposite approach...

In the explicitly-unsolvable Hamiltonian for a chemical system, approximations are made to solve the energy of the system. In particular we see CNDO (ZDO), INDO and MNDO theories. CNDO - complete neglect of differential overlap; two-center electron integrals are zero. INDO - intermediate...

I have N people and each of them has a uniform probability to belong to one of M countries. Now I wonder what is the distribution of the multiplicities?! I mean the number of countries with 1 person, 2 persons, 3 persons,... (no matter which country) Is there an equation for it? And what if...

Or can it? Can one atom exist in the same spacetime position? Can one electron overlap another? Quarks?

Hello, how is the overlap of two gaussians determined mathematically? Thanks

Hello, i would like to calculate the overlap of two simple pz orbitals dependent on the interatomic distance. how can i do that? Thanks

I'm studying for my Quantum Mechanics course and I've understood most of it so far, until we reached the quantum harmonic oscillator. Finding the solution was no easy feat and I have to say I only had a slender grasp of the derivation, but now I'm being given questions about certain energy...

Good evening Physicists! I am a bloke from Norway(Please excuse my writing, aint that good on the english language.). And my question to you, is if you can tell me how waves evolve into what most people would call Monster waves, and How high they can get. I have always asked this question when...

Hey I've been looking all over the web and I can't find any comprehensible information on overlap integrals. What does the overlap integral of two functions give us? And why? Thanks in advance!

I am looking to determine stress distrubution is overlap welds with some samples which have been tensile tested in a tensile testing machine. i want to find where there is the highest stress concentrations etc. how can i do this?

Hello, We are trying to calculate if a circle, of a given x, y co-ordinate and radius, will overlap a square, of a given x, y co-ordinate and length. We think we can identify points around the circumference and see if these points, with an x and y value, will be within the square. However...

What does the FETCH EXECUTE OVERLAP instruction mean ?

Homework Statement The task is to show that the eigenvalues of overlap matrix \tilde S are positive. Homework Equations The overlap matrix is defined as (\tilde S)_{nm} = \langle \xi_n \vert \xi_m \rangle , with \xi_k being the base vectors of the wavefunction...

Let's assume I can generate two individual light beams, one centered at a wavelength of 800nm (visible) and the other at 3450 nm (infrared). Obviously the visible light has a higher frequency than the infrared light. Since all EM waves travel at the speed of light, how can one achieve...

When I compile the following latex code on my computer, the subscript of the first row and the superscript of the second row overlap. Is there any way to make the rows farther apart? \begin{array}{ccccc} \cos^2\phi_y^1 - \cos^2\phi_x^1 & \cos^2\phi^1_z - \cos^2\phi_x^1 & 2\cos\phi_x^1...

Homework Statement I'm using http://ece-www.colorado.edu/~bart/book/" to understand my course on semiconductor physics better. In paragraph 2.3.4, the difference between insulators, semiconductors, metals is explained, based on the differences in bands. I understand the basic model. What I...

1: Why are the elements of a basis set taken to be orthogonal? But in real sense atomic orbitals do overlap.

First post and not used to the symbols that I have seen used in posting formulae, so please be patient! :smile: The probability of obtaining the ith energy eigenvalue Ei is given by the square modulus of the integral psi_i*(x)PSI(x,t)dx where PSI(x,t) is the wave function of the system...

Hi Folks, I'm working on a paper at the moment and need to use some kind of statistic but I'm not too great at stats. Here is the set up. 1) I have some volume. 2) Within this volume there is an even distribution of objects. 3) These objects 'explode' with a known frequency and...

For some time now I've set myself a goal I've yet to reach. For the first time I feel I've found a proper place to ask for help. I'm trying to devise a closed formula for the area of overlap of 2 arbitrary triangles from the known 6 vertexes' values. Naturally, inside the plane. In attempting...

hiya I hope you can help me. I've read that angular momentum is not component of linear momentum. But since formula for angular momentum is: G = r x p = r * p * sin(alpha) = r * p' p' ... component of linear momentum tangential to radius p ... linear momentum G ... angular...

Do calabi yau's overlap ? Please correct me if i am making assumptions based on my limited knowledge of string theory. If at each Planck size point particle in 4d spacetime there exists a manifold of 6 extra dimensions for a string to vibrate across. Do the calabi yau's overlap and...