dorsal/arxiv
View SchemaNumerical Evaluation of Cuspoid and Bessoid Oscillating Integrals for Applications in Chemical Physics
| Authors | J. N. L. Connor, C. A. Hobbs |
|---|---|
| Categories | |
| ArXiv ID | physics/0411015 |
| URL | https://arxiv.org/abs/physics/0411015 |
| Journal | Khimicheskaya Fizika, 2004, Volume 23, Number 2, pages 13-19 |
Abstract
Oscillating integrals often arise in the theoretical description of phenomena in chemical physics, in particular in atomic and molecular collisions, and in spectroscopy. A computer code for the numerical evaluation of the oscillatory cuspoid canonical integrals and their first-order partial derivatives is described. The code uses a novel adaptive contour algorithm, which chooses a contour in the complex plane that avoids the violent oscillatory and exponential natures of the integrand and modifies its choice as necessary. Applications are made to the swallowtail canonical integral and to a bessoid integral.
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"abstract": "Oscillating integrals often arise in the theoretical description of phenomena\nin chemical physics, in particular in atomic and molecular collisions, and in\nspectroscopy. A computer code for the numerical evaluation of the oscillatory\ncuspoid canonical integrals and their first-order partial derivatives is\ndescribed. The code uses a novel adaptive contour algorithm, which chooses a\ncontour in the complex plane that avoids the violent oscillatory and\nexponential natures of the integrand and modifies its choice as necessary.\nApplications are made to the swallowtail canonical integral and to a bessoid\nintegral.",
"arxiv_id": "physics/0411015",
"authors": [
"J. N. L. Connor",
"C. A. Hobbs"
],
"categories": [
"physics.chem-ph",
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],
"journal_ref": "Khimicheskaya Fizika, 2004, Volume 23, Number 2, pages 13-19",
"title": "Numerical Evaluation of Cuspoid and Bessoid Oscillating Integrals for Applications in Chemical Physics",
"url": "https://arxiv.org/abs/physics/0411015"
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