dorsal/arxiv
View SchemaReal trajectories in the semiclassical coherent state propagator
| Authors | Marcel Novaes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507124 |
| URL | https://arxiv.org/abs/quant-ph/0507124 |
| DOI | 10.1063/1.2038608 |
| Journal | J. Math. Phys. 46, 102102 (2005) |
Abstract
The semiclassical approximation to the coherent state propagator requires complex classical trajectories in order to satisfy the associated boundary conditions, but finding these trajectories in practice is a difficult task that may compromise the applicability of the approximation. In this work several approximations to the coherent state propagator are derived that make use only of real trajectories, which are easier to handle and have a more direct physical interpretation. It is verified in a particular example that these real trajectories approximations may have excellent accuracy.
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"abstract": "The semiclassical approximation to the coherent state propagator requires\ncomplex classical trajectories in order to satisfy the associated boundary\nconditions, but finding these trajectories in practice is a difficult task that\nmay compromise the applicability of the approximation. In this work several\napproximations to the coherent state propagator are derived that make use only\nof real trajectories, which are easier to handle and have a more direct\nphysical interpretation. It is verified in a particular example that these real\ntrajectories approximations may have excellent accuracy.",
"arxiv_id": "quant-ph/0507124",
"authors": [
"Marcel Novaes"
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"doi": "10.1063/1.2038608",
"journal_ref": "J. Math. Phys. 46, 102102 (2005)",
"title": "Real trajectories in the semiclassical coherent state propagator",
"url": "https://arxiv.org/abs/quant-ph/0507124"
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