三维含时薛定谔方程的m-混合问题的旋转解法:应用于H2 +的强场电离
Solving the m-mixing problem for the three-dimensional time-dependent Schrödinger equation by rotations: application to strong-field ionization of H2+
摘要:
我们提出了一个非常有效的技术来解决三维含时薛定谔方程。我们的方法适用于广泛的问题,其中需要全三维的解决方案,即,到不存在对称性的情况下,减少了问题的维度。例子包括在外场中任意取向的分子和与椭圆偏振光相互作用的原子。我们证明,即使在这种情况下,三维问题可以分解成两个二维问题的成本引入一个平凡的旋转变换。我们补充的理论框架与任意取向的H2+分子的强场电离的数值结果。
英文摘要:
We present a very efficient technique for solving the three-dimensional time-dependent Schrodinger equation. Our method is applicable to a wide range of problems where a fullly three-dimensional solution is required, i.e., to cases where no symmetries exist that reduce the dimensionally of the problem. Examples include arbitrarily oriented molecules in external fields and atoms interacting with elliptically polarized light. We demonstrate that even in such cases, the three-dimensional problem can be decomposed exactly into two two-dimensional problems at the cost of introducing a trivial rotation transformation. We supplement the theoretical framework with numerical results on strong-field ionization of arbitrarily oriented H2+ molecules.
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