I am presently doing a course on functional analysis. I have done courses on quantum mechanics before. I see that many functional analysis books have an ending chapter on quantum mechanics.
So are there any open research problems left to tackle in this field of functional analysis related to quantum mechanics?
Thanks in advance.
As I cannot write a comment: there are several, I think the best I can do is to give an excellent reference: "Schrödinger operators: With application to quantum mechanics and global geometry" by Barry Simon, a leading expert in particular as far as Schrödinger operators are concerned.