Scattered wave packet formalism for open quantum systems: Comparison with the non-Markovian time-dependent Schrodinger equation

作者：Chou Chia Chun^*; Wyatt Robert E

来源：Annals of Physics, 2012, 327(5): 1355-1364.

DOI：10.1016/j.aop.2012.02.004

• Scattered wave function
• Non-Markovian Schrodinger equation
• Open boundary condition
• Green function
• Quantum wave packet scattering

Computational comparison is presented between the scattered wave packet formalism and the non-Markovian time-dependent Schrodinger equation (TDSE). These two approaches have been developed to deal with open quantum systems. We employ these methods to study the dynamics of a Gaussian wave packet scattering from the Eckart barrier. It is shown that strongly oscillatory Green functions required in the integration of the non-Markovian TDSE significantly increase computational effort even for one-dimensional problems. Computational results indicate that the scattered wave packet formalism can achieve higher accuracy and can be several orders of magnitude faster than the integration of the non-Markovian TDSE.

• 出版日期2012-5