What is the value of A in Ψ=Acos^2(x) for a particle's wave function?

AI Thread Summary
The discussion revolves around finding the normalization constant A in the wave function Ψ=Acos^2(x) for a particle defined in the interval -π/2 < x < π/2. A participant initially calculated A as zero, but the correct value is √(8/3π). Another user emphasizes the importance of showing work to identify where mistakes may have occurred. The mention of using π/4 instead of π/2 suggests a potential error in the integration limits. The conversation highlights the need for careful calculations in quantum mechanics problems.
Hamza Abbasi
Messages
47
Reaction score
4

Homework Statement


The wave function of a certain particle is Ψ= A cos^2(x) for -π/2 < x < π/2. Find the value of A.

Homework Equations

The Attempt at a Solution


My answer is coming out to be zero wheres as the correct answer is under root 8/3π ... Please help me out !
 
Physics news on Phys.org
You're going to need to show your work, otherwise we have no idea where you've made a mistake.
 
  • Like
Likes Hamza Abbasi
http://IMAG0268 http://IMAF0269
 
Last edited by a moderator:
IMAG0268.jpg
IMAG0269.jpg
 
i have used pi/4 instead of pi/2 ignore that pls
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

If the wave function is normalized, what is the probability density at x?
Replies
4
Views
2K
Position wave function of energy eigenstates in 1D box
Replies
4
Views
2K
I Particle in Infinite Square Well
Replies
6
Views
2K
Finding the expected value of position in a Potential Well
Replies
31
Views
4K
Wave packet width given a wave function
Replies
2
Views
2K
Return time to its original state of a particle in the double infinite well
Replies
3
Views
1K
Normalization constant for a 3-D wave function
Replies
2
Views
4K
Verify Ψ is solution of quantum oscillator using H operator
Replies
8
Views
2K
How do I plot ψ(x,t) as a function of x at time t=a/v?
Replies
1
Views
2K
Resultant equation of two identical out of phase waves
Replies
4
Views
5K

Hot Threads

Recent Insights

Back
Top