ByvirtueoftheEinstein-Podolsky-Rosenentangledstate,whichisthecommoneigenvectoroftwopanicles'relativecoordinateandtotalmomentum,weestablishthebosonicoperatorversionoftheHamiltonianforaquantumpoint-masspendulum.TheHamiltoniandisplaysthecorrectSchroedlngerequationintheentangledstaterepresentation.ThecorrespondingHeisenbergoperatorequationswhichpredicttheangularmomentum-angleuncertaintyrelationarederived.Thequantumoperatordescriptionoftwoquantumpendulumscoupledbyaspringisalsoderived.
