  We consider uncertainty relations that give lower bounds to the sum of
variances. Finding such lower bounds is typically complicated, and efficient
procedures are known only for a handful of cases. In this paper we present
procedures based on finding the ground state of appropriate Hamiltonian
operators, which can make use of the many known techniques developed to this
aim. To demonstrate the simplicity of the method we analyze multiple instances,
both previously known and novel, that involve two or more observables, both
bounded and unbounded.
