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I am looking for good books about the spectral theory of periodic (1-dimensional) Schrödinger operators on a compact interval.

A good reference I found was Reed/Simon Analysis of Operators (and a book by Eastham on periodic Sturm-Liouville problems). I definitely like this reference, but the problem is that this is really the last chapter of the four books they wrote, so they use a lot of cross references to all other books. Also, I think their style is not the style that I like the most.So, are there more books about this topic available that you could recommend?

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Have a look at this book by Gerald Teschl.

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  • $\begingroup$ Deleting my previous comment, and then this one a bit later... $\endgroup$ – paul garrett Jun 2 '14 at 13:15
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Maybe Section 5.6 of my ode book is what you are looking for. There is also a new more comprehensive book Periodic Differential Operators by Brown, Eastham, and Schmidt.

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