2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79462In this paper, we present a formal variational calculus of super functions in one real variable and find the conditions for a "matrix differential operator" to be a Hamiltonian superoperator. Moreover, we prove that conformal superalgebras are equivalent to certain Hamiltonian superoperators.Latex,32pages; To appear in Algebra ColloquiumQuantum Algebratext