Numerical Solution of Square Well Potential With Matrix Method Using Worksheets

O.S.K.S Sastri 1 , Aditi Sharma, Jyoti Bhardwaj, Swapna Gora, Vandana Sharda and Jithin B.P

Central University of Himachal Pradesh, TAB Shahpur

We solve the time-independent Schrödinger equation for a square well potential, using matrix methods based numerical technique. Implementation of numerical method in a computer requires limiting the region of po- tential from infinity to some finite value, which is equivalent to embedding it within an infinite well potential. The eigen func- tions of the infinite well are utilised as the basis to build the hamiltonian matrix for the system. The matrix eigen equation is solved using Free Open Source Software (FOSS) Gnumeric which is a worksheet based envi- ronment that is easy for Implementation at the UG level.