Schrödinger Equation: Solving for Energy in a Semi-Infinite Square Well"

AI Thread Summary
The discussion revolves around solving the Schrödinger equation for a semi-infinite square well, highlighting the initial challenges faced in starting the problem. The user mentions the relationship between energy and wave number (K) and attempts to rearrange the equation to express energy (E) in terms of constants and variables. Key conditions at the boundary (X=L) are noted, specifically the requirement for first derivatives to match. The user seeks guidance on identifying the mass (m) and further solving the problem. The conversation emphasizes the complexities of applying quantum mechanics principles to a semi-infinite potential well scenario.
Ashley1nOnly
Messages
132
Reaction score
3

Homework Statement


I have an attachment

Homework Equations


Schrödinger equation

The Attempt at a Solution


The issues I am having is how to start this one. This is not a infinite square well but a semi-infinite square well.
I know that energy= K^2= 2mE/h^2
Where h is planks constant 6.626 X 10^-34 J•s
So rearranging (K^2 • h^2)/(2m) =E
How do I find my m and solve the other ones

At X=L
The first derivatives must be equal at X=L
Asin(kL)=Ce^(-aL)
KAcos(kL)=-aCe^(-aL)

Am I going in the right direction
 
Physics news on Phys.org
image.jpeg
 
image.jpeg
 
I think this belongs in the advanced physics forum.
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »

Similar threads

Understanding a math step in solving Schrödinger's equation for single particle in a box
Replies
8
Views
940
Solving Schrodinger's Equation for a Particle in an Infinite Box
Replies
1
Views
1K
The width of a finite potential well
Replies
8
Views
6K
Correct Setup for Finite Difference to Calculate Quantum Tunneling
Replies
2
Views
952
Understanding Wave Functions in a Semi-Infinite Potential Well
Replies
18
Views
3K
Comparing Energy Levels in Semi-Infinite and Infinite Potential Wells
Replies
27
Views
3K
Infinite square well centered at the origin
Replies
39
Views
12K
Schrodinger and Infinite Square Well hell
Replies
2
Views
2K
A relativistic electron in a potential box
Replies
4
Views
2K
Schrodinger Equation/verify solution
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top