PENERAPAN METODA MATRIK TRANSFER UNTUK MENENTUKANENERGI PRIBADI DARI PERSAMAAN GELOMBANGSCHRODINGER POTENSIAL SUMUR SEMBARANG

Abstract

A research has been done in order to find eigen energy for Schrodinger equation at arbitrarypotential well by numerical transfer matrix method. Before transfering matrix MATLABcode was made for arbitrary potential well, transfer matrix program was created for squarepotential well. The calculation results obtained three levels of eigen energy, each of whichwas worth 0,02860 eV, 0,11282 eV and 0,24589 eV. Transfer matrix program at thispotential was considered correct if the eigen energy results don’t differ much with the eigenenergy results on analytic formula. In the analytical formula, it was obtained three levels ofeigen energy, each of which was worth 0,02854 eV, 0,11185 eV and 0,24579 eV.Comparison of eigen energy results obtained through both equation was slightly different,wherein the percentage difference was less than 0,01%. At arbitrary potential well, there werethree levels of eigen energy each worth 0,10001 eV, 0,19001 eV and 0,36999 eV.