How Do You Normalize a Dirac Delta Function with a Double Potential?

[kt7888]

Dirac-delta function HELP!

so how would you normalize a dirac function with a potential V(x)=-αδ(x+a)-αδ(x-a)
well...write a normalizable solution to time ind. Schrödinger eq. in the three regions?
PLEASE HELP ASAP!

 

[Gokul43201]

Please read the forum Guidelines. We can not help with textbook problems unless you show some effort first. Also, next time round, use the Homework & Coursework Forum near the top of the main page.

 

[pam]

so how would you normalize a dirac function with a potential V(x)=-αδ(x+a)-αδ(x-a)
well...write a normalizable solution to time ind. Schrödinger eq. in the three regions?
PLEASE HELP ASAP!

The WF will be cosh in the middle, and exponential on either side.
The slope will have a discontinuity of -alpha at each delta.
Take it from there.