Can't Identify Variable in QM Question

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SUMMARY

The discussion centers on problem 2.31 from Griffiths' latest edition of Quantum Mechanics, which involves the Dirac Delta function and its interpretation as a weak potential. The variable z0 is identified as the width of the potential in this context, although it is not explicitly defined in the text. Participants clarify that z0 approaches zero, reinforcing the concept of the Dirac Delta function as a limiting case of a rectangle with area 1. Understanding this variable is crucial for solving the problem effectively.

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Jbar
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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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