Can't Identify Variable in QM Question

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Hello, my question is a simple one:

I am attempting to do problem 2.31 in Griffiths' QM book (latest edition). The question states, "The Dirac Delta function can be thought of as the limiting case of a rectangle of area 1, as the height goes to infinity and the width to zero. Show that the Delta-function well is a "weak" potential, in the sense that z0 -> 0. ..."

What is z0 in this case? I've not seen it introduced anywhere in the book and there's no description for what it represents. I'm not sure if I'm missing something obvious but any help would be great.
 
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Jbar said:
Hello, my question is a simple one:

I am attempting to do problem 2.31 in Griffiths' QM book (latest edition). The question states, "The Dirac Delta function can be thought of as the limiting case of a rectangle of area 1, as the height goes to infinity and the width to zero. Show that the Delta-function well is a "weak" potential, in the sense that z0 -> 0. ..."

What is z0 in this case? I've not seen it introduced anywhere in the book and there's no description for what it represents. I'm not sure if I'm missing something obvious but any help would be great.

The meaning of z0 is specific to this problem and I don't have Griffith's book, but it almost certainly means that z0 is the width of the potential.
 
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To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.

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