I think the extended complex scaling technique sometimes used in quantum mechanics computations is extremely similar to the perfectly matched layer methods used for acoustics, Maxwell's equations, and (most recently) elastodynamics. Sadly, while I understand the notion of a PML at this point, I don't know enough about quantum mechanics to decipher much of the available literature on ECS.

One day I'll have to learn some quantum. And some statistical mechanics. And some economics. And some more topology. And some Mandarin. And...