Understanding Eigenvalues and the Role of Sigma in Integrals

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[URGENT] another Eigenvalue problem

Homework Statement


[PLAIN]http://img99.imageshack.us/img99/1762/222n.png


Homework Equations


N/A


The Attempt at a Solution


I've no clue what's going on for this one. What does that function even do anyway?
 
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on Phys.org


On a side note, what is sigma in the integral?
 

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