What is excursion of a potential well?

[rcompton]

What is "excursion" of a potential well?

I think it means maximum depth of the well, but I've never heard this term before and I might be wrong. I don't have much of a quantum mechanics background.

Details:
I'm reading and implementing "Solution of the Schrödinger Equation by a Spectral Method" by Feit et al. They refer to delta_V as the "maximum excursion" of the potential. I interpret this to mean "minimum" of the potential, but my interpretation does not match up with the numbers they provide at the end.

EDIT: If someone could just give me the relation between the maximum depth of a potential well and the bandwidth of the energy spectrum that would solve it for me.

EDIT2: Time independent Hamiltonian.

 

[alxm]

My offhand interpretation would be to assume it was the difference between the maximum and the minimum of V.

 

[rcompton]

Yeah, that's what I think as well. But it's not lining up so I'm confused.

 

[rcompton]

Yeah, it looks like "maximum excursion" means max(V) - min(V). They must have a typo in their paper, which is upsetting as it's J comp. physics and has ~1000 citations.