Why isn't sinh 2x an eigenfunction of d²/dx²?

[Alekside]

Hello
today i learn about Eigen Function, I have many problem about Eigen Fuction

I not understand what the Eigen Fuction, Eigen Vector, Eigen Value?

For Example I not Understand this problem,
show the sinh 2x as not a Eigen Function d²/dx², Although the equation as d²/dx² sinh2x = 4 sinh 2x

 

[bhobba]

Its a concept from linear algebra, but via that wondrous subject known as functional analysis :p:p:p:p:p, and that the solutions of differential equations form a vector space, and indeed functions with rather weak crireria such as being square intergrable, also form a vector space, it is carried over to that as well:
http://tutorial.math.lamar.edu/Classes/DE/BVPEvals.aspx

Hopefully the above link will allow you to nut it out.

Its well worth your time as, not just in QM, but in applied math in general, its an EXTREMLY important copncept.

Thanks
Bill

 

[Alekside]

well thanks verry much bill, I will read a minute about QM, so thanks

 

[bhobba]

well thanks verry much bill, I will read a minute about QM, so thanks

No problem.

If you are still having problems do post back - on this or any issue.

It fairly easy to actually do your question, but its a lot better if you nut it out and do it.

Thanks
Bill