Double delta potential -- Degeneracy of bound states in one dimension?

[LagrangeEuler]

I have a question from the youtube lecture

That part starts after 42 minutes and 47 seconds.
Balakrishnan said that if delta barriers are very distant (largely separated) then we have degeneracy. I do not understand how this is possible when in 1d problems there is no degeneracy for bond states.

 

[Vanadium 50]

If I have two identical delta functions very far away and one particle, to a very good approximation it is either in potential #1 or in potential #2. They have the same energy (to an even better approximation) so the system is degenerate.

 

[LagrangeEuler]

So if I understand you well it is practical like two separate systems? Because of how to comment on this in the context of that in the one-dimensional problems there is no degeneration in the case of bond states.

 

[Hayley Mann]

I don't know if I can help you answer your questions, but here is a book that I studied at one time. Maybe you can find the answer in it http://www.quantumdevices.nl/teaching/ExchangeNote.pdf