2 problems

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Non-degeneracy conjecture for the minima of the ground-state eigenvalue
About 18 years old
Let $k$ be a positive integer, let $Q(\alpha,1)$ be the operator whose lowest eigenvalue is $\lambda_0(\alpha,1)$ , and let $\hat{\nu}$ denote the minimum value of…
openmagnetic-wells semiclassical-analysis spectral-theory
010
Uniqueness conjecture for the minimizing parameter
About 18 years old
Let $k$ be a positive integer, let $Q(\alpha,1)$ be the operator whose lowest eigenvalue is $\lambda_0(\alpha,1)$ , and let $\hat{\nu}$ denote the minimum value of…
openmagnetic-wells semiclassical-analysis spectral-theory
07

Non-degeneracy conjecture for the minima of the ground-state eigenvalue