What is Potential wells: Definition and 20 Discussions
A potential well is the region surrounding a local minimum of potential energy. Energy captured in a potential well is unable to convert to another type of energy (kinetic energy in the case of a gravitational potential well) because it is captured in the local minimum of a potential well. Therefore, a body may not proceed to the global minimum of potential energy, as it would naturally tend to due to entropy.
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...
maybe this question has more to do with chemistry, but it's physical chemistry at the very least.
so, in physics class we have been learning about schroedingers equations for the H atom electron energy levels, and discussing bound electrons in a potential well. for these electrons to move up...
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?
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...
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...