(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If potential of Schrodinger's eq(1-D) is ln(x)(log(x)), show that E1-E0(E0 is ground E)

is just constant.(x>0)

2. Relevant equations

This problem is a supplement problem of chapter 4 in

Quantum Mechanics: An Accessible Introduction.(Robert Scherrer)

3. The attempt at a solution

I want to get simple solution, not complex calculation.(using Frobenius theorem)

So I assume plot of potential ln(x) can be approximate to hydrogen potential problem.

(if x is very small)

(Energy value of hydrogen is just E=k/n^2)

But I think this approximation is not correct.

How should I do to get solution?

And this problem is really needed tough calculation method?

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# Show that E1-E0 is constant.(changing potential of Schrodinger's eq)

Can you offer guidance or do you also need help?

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