The spatial variable of the time-dependent Schrdinger equation was discretized,and the time-dependent part was treated by using the time average technique,then the time evolution of the system was simulated by the precise intergration method.

Application of time-splitting and wavelet based space-time adaptive method to solving Schrdinger equations;

In the field of force with nucleus as the center we set up the radial Schrdinger equation of alkaline metal atom, change it into the same form as the radial equation of hydrogen atom, compare it with the energy level of hydrogen atom, get the energy level formula of alkaline metal atom and discuss the fission law of alkaline metal atom energy level at the same time.

Analysis on spatial modulation instability about nonlinear Schrdinger equation in the case of considering 3-dimensional(3D) 3-component(3C),which is the cause of self-focus.

The Steady-State Solution and Non-Steady-State Solution to the Schrodinger Equation;

The numerical value calculation of schrodinger equation;

The atom s probability in crystal was investigated by using the one-dimensional linearity resonance model and the Schrodinger equation.

The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator,and its solution is obtained by the separation of variables.

In this article the distribution functions are constructed with the solution of the Schrdinger equation in phase space and it is found that the constructions of various distribution functions are not the same.

Using the method of structuring radial wave function for hydrogen atom,we have given the coefficients of the power-polynomial of the radial wave function for hydrogen atom by solving the Schrdinger equation.