Alternative Approach for the Time Domain Solution of the Schr�dinger Equation

Hans–Christian Pauli, L. Wilets

И. Е. Сазонов, Н. И. Жирнов

Valentine I. Zakharov, Vladimir G. Tyuterev

Xiao Li

In even magnetic field,the degeneracy of two gauges is calculated when magnetic field is confined in a cylindrical domain.The solution method of Schrdinger equation is introduced.

Mi-Song Dupuy, Virginie Ehrlacher, Clément Guillot

We propose new methods designed to numerically approximate the solution to the time dependent Schr{ö}dinger equation, based on two types of ansatz: tensors, and approximation by a linear combination of gaussian wave packets. In both cases, the method can be seen as a restricted optimization problem, which can be solved by adapting either the Alternating Least Square algorithm in the tensor case, or some greedy algorithm in the gaussian wavepacket case. We also discuss the efficiency of both approaches.

Jędrzej Śniatycki