- #1
yxgao
- 122
- 0
Why does the half of a harmonic oscillator potential allow only odd values of n?
Thx
Thx
Why Does a Half Harmonic Oscillator Only Allow Odd Quantum Numbers?
- Thread starter yxgao
- Start date
AI Thread Summary
A half harmonic oscillator potential only allows odd quantum numbers due to the boundary condition that the wave function must be zero at the origin, where the potential is infinite. This restriction leads to the acceptance of only odd solutions from the full harmonic oscillator's wave functions. The discussion humorously notes the timing of the question, suggesting a break from quantum mechanics during the holiday season. The emphasis is on understanding the implications of the potential's shape on the allowed quantum states. Thus, the odd quantum numbers arise directly from the requirement that the wave function vanishes at the boundary.
- #2
dextercioby
Science Advisor
- 13,397
- 4,079
yxgao said:
1.What do you mean by "half of a harmonic oscillator"??You should have written the text of the problem so anyone could figure it out...
2.Today it's Christmas Day.Leave QM for tomorrow at least...
Are u going to solve QM problems on the New Year's Eve too?? Daniel.
NO QUANTUM MECHANICS ALLOWED ON CHRISTMAS!
- #3
Triss
- 80
- 0
If you mean half of a harmonic oscillator potential where V(0)=\infty, then looking at the wave functions for the full harmonic oscillator you can only admit those solutions where \psi(0)=0. That will give you the odd solutions.
Kindly see the attached pdf. My attempt to solve it, is in it.
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I'm not able to figure out, why my solution is wrong, if it is wrong .
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)
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My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h.
So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
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