Does an Infinite Potential Well Have a Box in the Middle?

[element1945]

Homework Statement

An infinite potential well with a box in the middle V = 100, the walls of the box go from -L/2 to L/2.

Homework Equations

Schrodinger's equation.

The Attempt at a Solution

Please help.

 

[element1945]

Infinite walls go from -L to L, L = 1 m.

 

[element1945]

i have this equation n= (square root of E)x L/\pi and they gave me a) E=23.27432J b)E=26.95434J c)E=105.2461J they ask me to verify wheter the following values of energy are permitted or not to the particle

 

[element1945]

Homework Statement

An infinite potential well with a finite box inside. The walls of the infinite well go from -L to L.
The walls of the box go from -L/2 to L/2. Verify whether the following values of energy are permitted or not to the particle

a) E = 24 J
b) E = 26 J
c) E= 105 J

m = h bar /2 Kg
V = 100 J
L= 1 m

Homework Equations

Schrodinger's equation. double derivative of phi with respect to x + 2m/hbar (E-V) phi = 0

The Attempt at a Solution

Please help me I don't know how to relate these energies with Schrodinger's equation.
I know how to solve for a infinite potential well, but this one has a box inside with V = 100 J and I only know how to solve this with V = 0.

 

[buffordboy23]

How are E and V related?

 

[element1945]

That's schrodingers equation simplified...

 

[element1945]

what are bound states?

 

[malawi_glenn]

what are bound states?

Look it up in your QM book

 

[element1945]

thanks ; but where i am right now i don't have one and i am looking on the net ; but no results ; that's why i ask it here but thanks anyway "malawi glenn" and boffordboy 23 thanks you at least try to help me

 

[malawi_glenn]

Why don't you think I am not helping?

(where is my old post?)

I don't know if you don't have a QM book or not, it really helps a lot while studying to have textbooks. And why didn't you just google bound states?

You are obligated to show attempt to solution according to forum rules, I really can't see that you are trying.

Look up in the tutorial session here for intro QM lecture notes, there are at least 2. Then you can google for "particle in a box problems".

How come you want to solve this problem if you don't have textbook? You must then have class notes or similar.

 

[element1945]

thanks and i am new to the forum; i don't have textbook or my notebook cause i am on my sister house and i have dialup so is very dificult to see pdf files ; but i will try and read the thinks you say to me ; thanks

 

[element1945]

and i know how to solve a particlein a box but the problem is that this have infinite well and a box inside v=100J so i can't really see what to do

 

[malawi_glenn]

you know how to do it for V = 0 inside the well, why can't you do it for V = 100V?

How do you solve it for V = 0? How would you solve it for an arbitrary V?

 

[turin]

I think element may mean a potential that looks like this:

|          |
|          |
|          |
|          |
|   ____   |
|__|    |__|

where, by "box", maybe element means the bump in the middle?

EDIT: Thanks, Hurkyl.

 

[Hurkyl]

The normal mode in a post is 'text formatting', not 'artistic design'.

If you want equal-spaced formatting, wrap it in [ code ] .. [ /code ] tags.

 

[student111]

If the box extend all through the well, the problem is just the same as for V=0. If u just have a bumb in the middle of the well, you can use perturbation theory.

 

[element1945]

the problem is just like the drawing of turin thanks

 

[element1945]

but i don't know anything of pertubation theory

 

[turin]

If the box extend all through the well, the problem is just the same as for V=0. If u just have a bumb in the middle of the well, you can use perturbation theory.

You don't need perturbation theory; however, I think you may get a transcendental equation or something (I don't remember exactly what the solution is like). You know how to do this if you have a uniform potential, V₀, right. Well, just do it twice, once for each of the two values of V₀. Then, the Schroedinger equation also tells you how to put the pieces together (i.e. it prohibits "jagged" solutions in regions of finite potential).