dorsal/arxiv
View SchemaUnified theory of bound and scattering molecular Rydberg states as quantum maps
| Authors | Barbara Dietz, Maurice Lombardi, Thomas H Seligman |
|---|---|
| Categories | |
| ArXiv ID | physics/0402077 |
| URL | https://arxiv.org/abs/physics/0402077 |
| DOI | 10.1016/j.aop.2004.03.004 |
| Journal | Annals of Physics vol. 312(2) p. 441-479 (Aug. 2004) |
Abstract
Using a representation of multichannel quantum defect theory in terms of a quantum Poincar\'e map for bound Rydberg molecules, we apply Jung's scattering map to derive a generalized quantum map, that includes the continuum. We show, that this representation not only simplifies the understanding of the method, but moreover produces considerable numerical advantages. Finally we show under what circumstances the usual semi-classical approximations yield satisfactory results. In particular we see that singularities that cause problems in semi-classics are irrelevant to the quantum map.
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"abstract": "Using a representation of multichannel quantum defect theory in terms of a\nquantum Poincar\\\u0027e map for bound Rydberg molecules, we apply Jung\u0027s scattering\nmap to derive a generalized quantum map, that includes the continuum. We show,\nthat this representation not only simplifies the understanding of the method,\nbut moreover produces considerable numerical advantages. Finally we show under\nwhat circumstances the usual semi-classical approximations yield satisfactory\nresults. In particular we see that singularities that cause problems in\nsemi-classics are irrelevant to the quantum map.",
"arxiv_id": "physics/0402077",
"authors": [
"Barbara Dietz",
"Maurice Lombardi",
"Thomas H Seligman"
],
"categories": [
"physics.chem-ph",
"nlin.CD",
"physics.optics"
],
"doi": "10.1016/j.aop.2004.03.004",
"journal_ref": "Annals of Physics vol. 312(2) p. 441-479 (Aug. 2004)",
"title": "Unified theory of bound and scattering molecular Rydberg states as quantum maps",
"url": "https://arxiv.org/abs/physics/0402077"
},
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