2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57379The submanifold quantum mechanics was opened by Jensen and Koppe (Ann. Phys. {\bf 63} (1971) 586-591) and has been studied for these three decades. This article gives its more algebraic definition and show what is the essential of the submanifold quantum mechanics from an algebraic viewpoint.9 pages, to appear in J. Geom. Symmetry PhysMathematical PhysicsDifferential GeometryOn an Algebraic Essential of Submanifold Quantum Mechanicstext