Semiclassical theory of the ground-state tunneling splittin
分子研
○Gennady V Mil'nikov，中村宏樹
Abstract
Theproblemofsemiclassicalevaluationoftheground-statetunnelingsplittingiscompletelysolvedforanyRiemannianmetricandarbitrarynumberofdegreesoffreedom ItisprovedthattheinstantonmethodbasedonthepathintegralformalismandtheWKBapproximationfortheShrodingerequationyieldanidenticalresultforthesplitting Apracticallyeffectivemethodtocalculatetheinstantontrajectoryandtheclassicalactionispresented ThetheoryisgeneralizedforanarbitraryRiemannianmetricandappliedtothehydrogentunnelinginthethree-andtwentyone-dimensionalsystemsofHO2andmalonaldehyde,respectively
Theproblemofsemiclassicalevaluationoftheground-statetunnelingsplittingiscompletelysolvedforanyRiemannianmetricandarbitrarynumberofdegreesoffreedom