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Science Forum Index » Physics - Research Forum » How to interpret this time-independent Schrodinger equation?
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| Author |
Message |
| Daniel Alayon-Solarz |
 Posted: Thu Mar 08, 2007 8:38 pm |
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Guest
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Hi,
After being able to factorize the angular part of the laplacian I have
noted that this allows to find solutions to the following equation:
(-\delta + v) g = 0
where v = n(n+1)/r^2, n is an integer.
Clearly, r^n is a solution for this equation. The more general
solutions I have found are of the form: r^n h(\theta, \phi). Some
anomalies arise; h has a singularity (i.e goes to infinity) in at
least one point of the sphere. This means that r^n h is singular in at
least one half-line.
My question, then, is how to interpret this equation in physical
terms?
Thanks
Daniel Alayon-Solarz |
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