dorsal/arxiv
View SchemaCounterintuitive transitions in multistate curve crossing involving linear potentials
| Authors | V. A. Yurovsky, A. Ben-Reuven, P. S. Julienne, Y. B. Band |
|---|---|
| Categories | |
| ArXiv ID | physics/9811053 |
| URL | https://arxiv.org/abs/physics/9811053 |
| DOI | 10.1088/0953-4075/32/8/306 |
| Journal | J. Phys. B, 32 (1999) 1845 |
Abstract
Two problems incorporating a set of horizontal linear potentials crossed by a sloped linear potential are analytically solved and compared with numerical results: (a) the case where boundary conditions are specified at the ends of a finite interval, and (b) the case where the sloped linear potential is replaced by a piecewise-linear sloped potential and the boundary conditions are specified at infinity. In the approximation of small gaps between the horizontal potentials, an approach similar to the one used for the degenerate problem (Yurovsky V A and Ben-Reuven A 1998 J. Phys. B 31,1) is applicable for both problems. The resulting scattering matrix has a form different from the semiclassical result obtained by taking the product of Landau-Zener amplitudes. Counterintuitive transitions involving a pair of successive crossings, in which the second crossing precedes the first one along the direction of motion, are allowed in both models considered here.
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"abstract": "Two problems incorporating a set of horizontal linear potentials crossed by a\nsloped linear potential are analytically solved and compared with numerical\nresults: (a) the case where boundary conditions are specified at the ends of a\nfinite interval, and (b) the case where the sloped linear potential is replaced\nby a piecewise-linear sloped potential and the boundary conditions are\nspecified at infinity. In the approximation of small gaps between the\nhorizontal potentials, an approach similar to the one used for the degenerate\nproblem (Yurovsky V A and Ben-Reuven A 1998 J. Phys. B 31,1) is applicable for\nboth problems. The resulting scattering matrix has a form different from the\nsemiclassical result obtained by taking the product of Landau-Zener amplitudes.\nCounterintuitive transitions involving a pair of successive crossings, in which\nthe second crossing precedes the first one along the direction of motion, are\nallowed in both models considered here.",
"arxiv_id": "physics/9811053",
"authors": [
"V. A. Yurovsky",
"A. Ben-Reuven",
"P. S. Julienne",
"Y. B. Band"
],
"categories": [
"physics.atom-ph",
"physics.chem-ph"
],
"doi": "10.1088/0953-4075/32/8/306",
"journal_ref": "J. Phys. B, 32 (1999) 1845",
"title": "Counterintuitive transitions in multistate curve crossing involving linear potentials",
"url": "https://arxiv.org/abs/physics/9811053"
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