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        riddles >> general problem-solving / chatting / whatever >> Eigen functions of operator in inf-space
        
(Message started by: R Powel on Apr 29^th, 2005, 11:53am)

Title: Eigen functions of operator in inf-space
Post by R Powel on Apr 29^th, 2005, 11:53am

I am looking for a formula to produce polynomial eigenfunctions of a symmetric operator in infinite spaces?

Thank you!

Title: Re: Eigen functions of operator in inf-space
Post by Michael_Dagg on Apr 30^th, 2005, 10:47am

I would be surprised if there is any such formula.

Title: Re: Eigen functions of operator in inf-space
Post by Another Aggie on Apr 30^th, 2005, 9:10pm

on 04/30/05 at 10:47:02, Michael_Dagg wrote:

I would be surprised if there is any such formula.

Even if so, wouldn't it pretty much depend on the operator?

Title: Re: Eigen functions of operator in inf-space
Post by Michael_Dagg on May 1^st, 2005, 7:54am

on 04/30/05 at 21:10:34, Another Aggie wrote:

Even if so, wouldn't it pretty much depend on the operator?

At least.

Title: Re: Eigen functions of operator in inf-space
Post by R Powel on May 5^th, 2005, 8:09am

If there is not then I then why would it be a project we have?

Title: Re: Eigen functions of operator in inf-space
Post by rmsgrey on May 5^th, 2005, 9:02am

on 05/05/05 at 08:09:46, R Powel wrote:

If there is not then I then why would it be a project we have?

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.

Title: Re: Eigen functions of operator in inf-space
Post by Michael_Dagg on May 5^th, 2005, 5:35pm

on 05/05/05 at 08:09:46, R Powel wrote:

If there is not then I then why would it be a project we have?

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.

Title: Re: Eigen functions of operator in inf-space
Post by rmsgrey on May 6^th, 2005, 9:11am

on 05/05/05 at 17:35:04, Michael_Dagg wrote:

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...

Title: Re: Eigen functions of operator in inf-space
Post by R Powel on May 7^th, 2005, 9:12am

That is the same base problem statement but with my "I am looking for a formula" replaced with "Find a formula."