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Dec 20, 2019 at 14:52 comment added Kris Good point, we know that this lowest eigenvalue equals: -(largest eigenvalue). Moreover, we know that it is unique, so that the corresponding eigenspace is one-dimensional.
Dec 20, 2019 at 14:44 comment added Yemon Choi OK, but what are we allowed to assume about this eigenvalue? Is it strictly positive, for instance?
Dec 20, 2019 at 14:35 history edited Kris CC BY-SA 4.0
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Dec 20, 2019 at 14:17 comment added Kris I mean the eigenvector related to the lowest eigenvalue. So the ground state eigenvector corresponds to the lowest eigenvalue of H_N.
Dec 20, 2019 at 14:05 comment added Yemon Choi Some of your terminology is more physics-y and less math-y than I am used to. When you talk of the ground state eigenvector of $H_N$, what is the associated eigenvalue?
Dec 20, 2019 at 13:19 history asked Kris CC BY-SA 4.0