讨论班(高量)：Simulation of quantum systems with the coupled channel method（周艳珺）

时间：2009.12.31. 下午 2：00—3：30
地点：18教学楼405室
主讲：周艳珺

J. Wanga and J. D. Champagne, Am. J. Phys. 76 (4&5),  493, April/May 2008

摘要：

We describe a computational method for simulating time-dependent quantum mechanical systems
interacting with external fields. In this method, the Schrödinger equation is solved by expanding the
wave function in the basis set of the unperturbed Hamiltonian. The expansion yields a set of coupled
ordinary differential equations for the expansion coefficients. This coupled channel method can be
applied to many time-dependent problems. We apply the coupled channel method to a particle in a
box interacting with a laser pulse. We show that if only two states are involved, the method leads
naturally to the solutions for Rabi flopping, and that the system exhibits Rabi flopping behavior even
with realistic, nonmonochromatic laser pulses. We also discuss instances where simulations could
improve the understanding or address misconceptions of beginning students in quantum
mechanics.

相关链接：http://academics.eckerd.edu/instructor/coxaj/grc_materials/AJP/wang_qm.pdf