dorsal/arxiv
View SchemaComment on "Recurrences without closed orbits"
| Authors | J. Main |
|---|---|
| Categories | |
| ArXiv ID | physics/9908001 |
| URL | https://arxiv.org/abs/physics/9908001 |
| DOI | 10.1103/PhysRevA.60.1726 |
| Journal | Phys. Rev. A 60 (1999) 1726 |
Abstract
In a recent paper Robicheaux and Shaw [Phys. Rev. A 58, 1043 (1998)] calculate the recurrence spectra of atoms in electric fields with non-vanishing angular momentum <L_z> not equal to 0. Features are observed at scaled actions ``an order of magnitude shorter than for any classical closed orbit of this system.'' We investigate the transition from zero to nonzero angular momentum and demonstrate the existence of short closed orbits with L_z not equal to 0. The real and complex ``ghost'' orbits are created in bifurcations of the ``uphill'' and ``downhill'' orbit along the electric field axis, and can serve to interpret the observed features in the quantum recurrence spectra.
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"abstract": "In a recent paper Robicheaux and Shaw [Phys. Rev. A 58, 1043 (1998)]\ncalculate the recurrence spectra of atoms in electric fields with non-vanishing\nangular momentum \u003cL_z\u003e not equal to 0. Features are observed at scaled actions\n``an order of magnitude shorter than for any classical closed orbit of this\nsystem.\u0027\u0027 We investigate the transition from zero to nonzero angular momentum\nand demonstrate the existence of short closed orbits with L_z not equal to 0.\nThe real and complex ``ghost\u0027\u0027 orbits are created in bifurcations of the\n``uphill\u0027\u0027 and ``downhill\u0027\u0027 orbit along the electric field axis, and can serve\nto interpret the observed features in the quantum recurrence spectra.",
"arxiv_id": "physics/9908001",
"authors": [
"J. Main"
],
"categories": [
"physics.atom-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.60.1726",
"journal_ref": "Phys. Rev. A 60 (1999) 1726",
"title": "Comment on \"Recurrences without closed orbits\"",
"url": "https://arxiv.org/abs/physics/9908001"
},
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