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[coupled harmonic oscillators] old thread- need elaboration

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rsaad
#1
Dec4-12, 11:06 AM
P: 77
Hi
Can someone please explain the answer to the following thread? I tried uncoupling the Hamiltonian but to no avail.

http://www.physicsforums.com/showthread.php?t=602106

Thank you.
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mfb
#2
Dec4-12, 12:44 PM
Mentor
P: 11,890
Did you try the proposed rotation?

##x'=\cos(\alpha)x + \sin(\alpha)y##, ##y'=-\sin(\alpha)x + \cos(\alpha)y##

Where α has to be determined to uncouple the Hamiltonian.
rsaad
#3
Dec4-12, 11:32 PM
P: 77
Yes i tried but I am still getting xy term

mfb
#4
Dec5-12, 07:28 AM
Mentor
P: 11,890
[coupled harmonic oscillators] old thread- need elaboration

You could show your work here, this would help to find the error.


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