The Error in Solving Schrdinger Equation of Wave Function of Particle Spin with 4-order Symposium
Yuzhen Liu
The numerical solution of wave function is obtained by solving schrdinger equation of partical spin with symposium.We investigated the error in the solution of 4-order symposium,which was compared with that of 2-order symposium.The precision of the solution of wave function with 4-order symposium is 7 quantitative ranks higher than that with 2-order symposium,namely its absolute error7 quantitative ranks lower than that of 2-order symposium.However,their error changes are similar,all of which oscillate periodically between positive and negative numbers,and are similar to those of sine or cosine function,while the amplitudes increasing continuously.The changeable error graph of 4-order symposium slightly delays that of 2-order symposium.It is discovered that the absolute error of 2-order symposium of wave function is exactly proportional to the rate of time change of the wave function.In other words,the ratior of the absolute error of a wave function to the rate of its time change is linear,while it is not true for 4-order symposiom.However,considering the delay of 4-order absolute error,we can also obstain similar linear results.
•Jan 1, 2007•0 citations