## Department of Physics

### Department News

### Student Seminar on Wednesday, March 21

**Mar 19, 2012**

*******Seminar Announcement*****
PHYS600 Wednesday, March 21, 4:00-4:50 pm
Currens Hall 205
All physics faculty and students are invited.**

**Speaker: Oluwaseye Dada**

Graduate Student, Physics Department, WIU

Title: On Time-Splitting / Pseudo-Spectral Approximations for the Schrodinger Equation in the Semi-Classical Regime

Graduate Student, Physics Department, WIU

Title: On Time-Splitting / Pseudo-Spectral Approximations for the Schrodinger Equation in the Semi-Classical Regime

**Abstract:**

In my presentation, I will show how time splitting spectral methods can be used numerically to solve the Schrodinger equation and nonlinear Schrodinger equation. I will discuss the numerical discretizations of the time-dependent Schrodinger equation based on the pseudo-spectral methods in space and the exponential operator splitting methods in time. Finally, I will talk about the use of time-splitting spectral approximation method in the semi-classical regime. The considered discretizations are favorable in view of accuracy and efficiency, and the geometric properties of the equation are also well captured.