PENENTUAN ENERGI EIGEN PERSAMAAN SCHRODINGER DENGAN SUMUR POTENSIAL SEMBARANG MENGGUNAKAN METODE MATRIKS TRANSFER NUMERIK

Abstract

A research has been done in order to find eigen energy for Schrodinger equation at arbitrary potential well by numerical transfer matrix method. Before transfering matrix MATLAB code was made for arbitrary potential well, transfer matrix program was created for square potential well. The calculation results obtained three levels of eigen energy, each of which was worth 0,02860 eV, 0,11282 eV and 0,24589 eV. Transfer matrix program at this potential was considered correct if the eigen energy results don’t differ much with the eigen energy results on analytic formula. In the analytical formula, it was obtained three levels of eigen 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 were three levels of eigen energy each worth 0,10001 eV, 0,19001 eV and 0,36999 eV.