Solving The Schr(?)dinger Equation For Resonant Tunneling

Schrodinger equation has been widely applied in mathematics and physics, here we introduce a special solution and theory analysis for a particular kind of Schrodinger function for resonant tunneling. We give a deflation method where the different initial values will go to the different solutions, so that we can surely get a new eigenfunction and improve the multi mode method. To confirm the correction of our method, we introduce the tensor production. In addition, we also give the introduction and solutions for the high dimension case.