Phase space approach to the time-dependent Schroedinger equation: Toward propagation of a multi-electron wavepacket |
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| Norio Takemoto | |
| Weizmann Institute of Science, Rehovot | |
| We propose a new method to solve the time-dependent Schroedinger equation based on a phase space perspective. The method employs the so-called periodic von Neumann basis with biorthogonal exchange recently introduced for calculating the energy eigenstates of static quantum systems. While the individual elements in this basis are time-independent, we select the active subset of the basis in a time-dependent manner to adapt to the evolution of the wavepacket in phase space. The method is flexible, accurate, efficient, stable, and simple. We plan to use it for coherent control simulation of multi-electron systems. As a first demonstration, we show the results of propagating the wavepacket of the electron in a one-dimensional model atom interacting with intense and ultrashort laser pulses. This work was done with Asaf Shimshovitz and David J. Tannor. |