Q2 Help: Quantum Mechanics U=100v & U=10000v Wavelengths

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SUMMARY

The discussion centers on the application of quantum mechanics principles, specifically the de Broglie wavelength calculations at different potentials (U=100v and U=10000v). The calculated wavelengths are 1.228 x 10^-10 m and 1.228 x 10^-11 m, respectively. Participants emphasize the necessity of understanding calculus, particularly differentiation, to solve quantum mechanics problems effectively. The forum policy requires users to demonstrate their attempts at solutions, highlighting the importance of foundational knowledge in mathematics for tackling advanced physics topics.

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Ming0407
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my Q1 ans. when U=100v, wavelength=1.228 x 10^-10 m
when U=10000v, wavelength=1.228 x 10^-11 m

Q2 ans. help me...
 
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Welcome to PF! I'm afraid you will need to show your attempt at a solution before anybody can help you. It is the policy of this forum.
 
Sorry, i don't know the policy of this forum. Anybody can help me?
 
Question 1 seems to be fine. You've found the momentum and used the de Broglie wavelength equation. For question 2 you will have to use the plane wave \Psi (x,t) = Ae^{i(kx-\omega t)} in the wave equation and perform the differentiations. Then you should be able to do part one and part two.
 
i don't know how to perform the differentiation. because i have not study differentiation, i don't know question 2 too.
 
Ming0407 said:
i don't know how to perform the differentiation. because i have not study differentiation, i don't know question 2 too.


Well why are you doing QM if you haven't done enough math before?

And there are tons of tutorials on the internet on calculus. Do you want us to show you some of those?
 
Ming0407 said:
i don't know how to perform the differentiation. because i have not study differentiation, i don't know question 2 too.

You're taking QM and have not taken Calculus I?

How is that possible?
 
Ming0407 said:
i don't know how to perform the differentiation. because i have not study differentiation, i don't know question 2 too.

I'm not sure we can help you other than giving you the answer in that case, which is against the spirit of the forum. I could spend 30 minutes typing out a tutorial on how to differentiate exponentials but frankly I don't think it would help when you have never taken any calculus and you're doing a QM course.

I must ask, are you self-studying or on a college or university course?
 

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