withl >0 the9?f?f1ì?(?n?e?ective potential should also include the term that arises from the angular momentum, as shownin following ?gure.The total potential in the central-?eld approximation including the term that is proportionaltol(l+1)/r2drawn here forl= 2 and the same approximate electrostaticVCF(r). The angularmomentum leads to a-centrifugal barrier.that tends to keep the wavefunctions of electrons withl >0 away from r = 0 where the central-?eld potential is deepest.??μé?>fXú§e??E??Cq???§§du>f->fü?3?3§T?§7L?)???￥?k?3U"du??Schrodinger?§w5/?6ul§?PU?ó??6unúl§3?e?f?|??éz?>f?7L??núl"·??k??E?K(?>f??f??????Ut??")§=oUt??v±|?f>l??1§????R(r) =Nexp(?ρ2)ρlL2l+1n+l(ρ)ρ= 2αrù?ê????Laguerre?ê§N????8?zXê"α2=?22μE~L(ρ) =Pn?l?1k=0akρk8?z????ê?μRnl(r) =?q(2Zna)3(n?l?1)!2n[(n+l)!]e?ρ/2ρlL2l+1n+l(ρ)10
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