Potential wells Definition and 19 Threads

hi guys i came across this question about the maximum and minimum number of bound states that can be confined in these potential wells 1- infinite potential well 2- semi infinite potential well (from one side) 3 - finite potential well i think i have a good idea about the minimum number of...

In some other thread someone mentioned that a 3D cubic potential well always has a ground state that is a bound state, but a spherical well doesn't necessarily have if it's too shallow. I calculated some results for 3d cubes, spheres and surfaces of form ##x^{2n}+y^{2n}+z^{2n}=r^{2n}##, which...

I've read that two electrons can become entangled in a "potential well," which is a point where potential energy is lowest compared to its surroundings. Is this correct? What does this have to do with entangling particles?

Homework Statement Let us look at a 3-dimensional potential box. Show, that the wave function in this situation can be written as the product of 3 single-argument functions. Homework Equations The 3D Schrödinger equation: \begin{equation} -\frac{\hbar^2}{2m} \left( \frac{\partial^2...

Homework Statement An electron is enclosed in a potential well, whose walls are ##V_0 = 8.0eV## high. If the energy of the ground state is ##E = 0.50eV##, approximate the width of the well. Answer: ##0.72nm## Homework Equations For an electron in a potential well, whose energy is less than...

Can one work with spherical potential wells as square wells with an infinite amount of steppotentials of infinitly small size , thus integrating or summing the steppotentials? Would be great bunch of work, treating all the steppotentials and the different energys of the particle I mean for E>V...

Homework Statement An electron can be in one of two potential wells that are so close that it can “tunnel” from one to the other (see §5.2 for a description of quantum- mechanical tunnelling). Its state vector can be written |ψ⟩ = a|A⟩ + b|B⟩, (1.45) where |A⟩ is the state of being in the...

Homework Statement What is the functional form of the wave function in the ground state in the five regions x<0, 0<x<a, a<x<b, b<x<L, and x>L? I've attached the picture of the potential well as well here: Homework Equations Schrodinger time independent equation The Attempt at a...

I am currently working through Griffiths' textbook on quantum mechanics. The hydrogen atom was first modeled as a one body system with the proton fixed at the origin. In this case the potential was given by Coulomb's law, V(r) = -\frac{e^2}{4\pi\epsilon_0}\frac{1}{r} \ , where r is the radial...

Hi guys! This is my first post on Physics Forums even, and I have a question regarding potential wells with finite potential. I understand the infinite potential well but what if the well is finite? For example, if we a potential well with infinite potential to the left of 0, but with increasing...

So I have looked up some related posts about potential wells but none of them really actually talk about what a potential well IS... what does the line on the graph actually tell us? what potential is it talking about?

Hi ! Can someone try to explain to me the general concept of potential well. I tried google, but i find it confusing with sea of equations... Thanks

Square Potential Wells? Homework Statement An electron is moving past a square well with energy E=3U_{0} . What is the ratio of the de Broglie wavelength of the electron in the region x>L to the wavelength for 0<x<L?Homework Equations none that I can think ofThe Attempt at a Solution I know...

This is based on my understanding that solving the Schrodinger equation for two potential wells in close proximity has the possibility for a lower energy eigenvalue in the first quantum state then that of a single potential well or two very far away from each other. Hopefully I have said that...

one at -a, 0, and a. Eigenfunctions?

Is it true that, no matter what, the number of tops the wave functions of the energy levels in a one dimensional potential well (like the one shown below) have is the same as the number of that energy level? I.e. does in every well the wavefunction have 1 top in E1, 2 in E2, 3 in E3 etc?

Hi there! I know how the wavefunctions look like for infinite potential wells and finite potential wells, with the barrier is placed at zero, so I got curious and drew the following well: As you can see I split it into three different parts, because the Schrodinger equation has...

I'm confused when I study potential wells. I understand that when E<V0 there are eigenstates and only certain values of energy. I can express this condition with an equation and eigenfunctions. However, if E>V0, it's not bounded and all values of energy are possible. This, I don't understand...

My name is Unmesh Kamle. I have just passed high school and began reading about Potential wells and about electrons trapped inside them (from Resnick Halliday Krane). I m also reading about Supersymmetry. I m new member on this discussion forum. Could somebody reply to this message so that I can...