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Mar 5, 2016 at 16:23 history edited Lewis Miller CC BY-SA 3.0
adding more detail.
Mar 4, 2016 at 22:56 history edited Lewis Miller CC BY-SA 3.0
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Mar 4, 2016 at 22:34 comment added Lewis Miller @Matthew Thanks for the link. I was thinking of doing this myself, but you saved me a lot of work. I will edit my answer to compare the results. They are interesting.
Mar 4, 2016 at 5:50 comment added Matthew I found this note ks.uiuc.edu/Services/Class/PHYS480/LectNotes/well/p480_n.pdf, which solves the problem numerically. The ground state energy is 1.06 in their conventions, which you can translate to your conventions if you'd like.
Mar 4, 2016 at 3:05 comment added Lewis Miller Good question. I would like to know how good an approximation my answer is.
Mar 4, 2016 at 0:39 vote accept Matthew
Mar 4, 2016 at 0:38 comment added Matthew Thanks, Lewis. Yes, I was being sloppy with my notation.
Mar 2, 2016 at 20:43 history answered Lewis Miller CC BY-SA 3.0