dorsal/arxiv
View SchemaSolving the m-mixing problem for the three-dimensional time-dependent Schr\"{o}dinger equation by rotations: application to strong-field ionization of H2+
| Authors | T. K. Kjeldsen, L. A. A. Nikolopoulos, L. B. Madsen |
|---|---|
| Categories | |
| ArXiv ID | physics/0612219 |
| URL | https://arxiv.org/abs/physics/0612219 |
| DOI | 10.1103/PhysRevA.75.063427 |
Abstract
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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"abstract": "We present a very efficient technique for solving the three-dimensional\ntime-dependent Schrodinger equation. Our method is applicable to a wide range\nof problems where a fullly three-dimensional solution is required, i.e., to\ncases where no symmetries exist that reduce the dimensionally of the problem.\nExamples include arbitrarily oriented molecules in external fields and atoms\ninteracting with elliptically polarized light. We demonstrate that even in such\ncases, the three-dimensional problem can be decomposed exactly into two\ntwo-dimensional problems at the cost of introducing a trivial rotation\ntransformation. We supplement the theoretical framework with numerical results\non strong-field ionization of arbitrarily oriented H2+ molecules.",
"arxiv_id": "physics/0612219",
"authors": [
"T. K. Kjeldsen",
"L. A. A. Nikolopoulos",
"L. B. Madsen"
],
"categories": [
"physics.atom-ph",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevA.75.063427",
"title": "Solving the m-mixing problem for the three-dimensional time-dependent Schr\\\"{o}dinger equation by rotations: application to strong-field ionization of H2+",
"url": "https://arxiv.org/abs/physics/0612219"
},
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