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Topic: Eigen functions of operator in inf-space (Read 1467 times) |
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R Powel
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Eigen functions of operator in inf-space
« on: Apr 29th, 2005, 11:53am » |
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I am looking for a formula to produce polynomial eigenfunctions of a symmetric operator in infinite spaces?
Thank you!
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Michael Dagg
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Re: Eigen functions of operator in inf-space
« Reply #1 on: Apr 30th, 2005, 10:47am » |
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I would be surprised if there is any such formula.
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Michael Dagg
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Another Aggie
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Re: Eigen functions of operator in inf-space
« Reply #2 on: Apr 30th, 2005, 9:10pm » |
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on Apr 30th, 2005, 10:47am, Michael_Dagg wrote:| I would be surprised if there is any such formula. |
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Even if so, wouldn't it pretty much depend on the operator?
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Michael Dagg
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Re: Eigen functions of operator in inf-space
« Reply #3 on: May 1st, 2005, 7:54am » |
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on Apr 30th, 2005, 9:10pm, Another Aggie wrote:
Even if so, wouldn't it pretty much depend on the operator?
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At least.
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Michael Dagg
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R Powel
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Re: Eigen functions of operator in inf-space
« Reply #4 on: May 5th, 2005, 8:09am » |
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If there is not then I then why would it be a project we have?
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rmsgrey
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Re: Eigen functions of operator in inf-space
« Reply #5 on: May 5th, 2005, 9:02am » |
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on May 5th, 2005, 8:09am, R Powel wrote:| If there is not then I then why would it be a project we have? |
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Why do people try to make perpetual motion machines?
What is the exact project specification? And what context was it set in? Since I'm not currently clued up on eigenfunctions generaly, never mind in infinite space, I'll leave more specific suggestions to those who are.
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Michael Dagg
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Re: Eigen functions of operator in inf-space
« Reply #6 on: May 5th, 2005, 5:35pm » |
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on May 5th, 2005, 8:09am, R Powel wrote:| If there is not then I then why would it be a project we have? |
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If the problem statement is the actual statement you provided, then the only reason I can think of as to why you have a project based on it would be for you to gain experience in recognizing nonsense.
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Michael Dagg
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rmsgrey
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Re: Eigen functions of operator in inf-space
« Reply #7 on: May 6th, 2005, 9:11am » |
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on May 5th, 2005, 5:35pm, Michael_Dagg wrote:| If the problem statement is the actual statement you provided, then the only reason I can think of as to why you have a project based on it would be for you to gain experience in recognizing nonsense. |
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A related topic came up briefly at my recent interview for a PGCE (teaching qualification) course - the contrast between the classroom where every question has an answer - if the teacher is following government guidelines, a simple answer which is clearly related to the day's topic - and "real" mathematics where there's no guarantee a question even has an answer, never mind an obvious (or even a calculable) one - so it might be worth actually challenging students with problems that you don't expect them to be able to solve from time to time.
I'm sure Sir Col could provide a more detailed insight into the current failings of the UK's heavily regulated education system...
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R Powel
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Re: Eigen functions of operator in inf-space
« Reply #8 on: May 7th, 2005, 9:12am » |
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That is the same base problem statement but with my "I am looking for a formula" replaced with "Find a formula."
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