Advanced search
Publication Cover
Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 50, 1983 - Issue 6
Submit an article Journal homepage
42
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Collisions and umbilic catastrophes

The hyperbolic umbilic canonical diffraction integral

T. Uzer Theoretical Chemistry Department, 1 South Parks Road, Oxford, OX1 3TG, England; Department of Chemistry, University of Colorado, Boulder, Colorado, 80309, U.S.A.
,
J.T. Muckerman Theoretical Chemistry Department, 1 South Parks Road, Oxford, OX1 3TG, England; Chemistry Department, Brookhaven National Laboratory, Upton, NY, 11973, U.S.A.
&
M.S. Child Theoretical Chemistry Department, 1 South Parks Road, Oxford, OX1 3TG, England
Pages 1215-1230 | Received 20 Jun 1983, Accepted 01 Aug 1983, Published online: 23 Aug 2006

Citations (18)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (5)

. (2006) Mark Sheard Child. Molecular Physics 104:1, pages 3-9.
Read now
R.A. Lee, D.F. Lynch & I.J. Wilson. (1985) Diffraction Patterns of Generalized Curvilinear Diffraction Gratings. Optica Acta: International Journal of Optics 32:5, pages 573-593.
Read now
S.K. Gray, M.S. Child & D.W. Noid. (1985) A uniform classical S matrix theory for bound-bound Franck-Condon factors. Molecular Physics 54:3, pages 573-585.
Read now
Vicente Lopez & T. Uzer. (1984) Evaluation of non-separable two-dimensional. Molecular Physics 53:5, pages 1273-1283.
Read now
StephenK. Gray & MarkS. Child. (1984) Photodissociation within classical S matrix theory. Molecular Physics 51:2, pages 189-210.
Read now

Articles from other publishers (13)

Chelo Ferreira, José L. López & Ester Pérez Sinusía. (2022) An asymptotic expansion of the hyberbolic umbilic catastrophe integral. The Ramanujan Journal 61:3, pages 921-933.
Crossref
Alessandro ZannottiAlessandro Zannotti. 2020. Caustic Light in Nonlinear Photonic Media. Caustic Light in Nonlinear Photonic Media 51 107 .
Riccardo Borghi. (2010) On the numerical evaluation of umbilic diffraction catastrophes. Journal of the Optical Society of America A 27:7, pages 1661.
Crossref
Benjamin R. Dzikowicz & Philip L. Marston. (2005) Doubly focused backscattering from finite targets in an Airy caustic formed by a curved reflecting surface. The Journal of the Acoustical Society of America 118:5, pages 2811-2819.
Crossref
A. L. Glebov, S. Miret-Artés, J. P. Toennies, F. Traeger & J. Margalef-Roig. (1999) Catastrophe theory and resonance line shapes in atom-surface scattering. Physical Review B 60:9, pages 6529-6534.
Crossref
Jörg Main. (1999) Use of harmonic inversion techniques in semiclassical quantization and analysis of quantum spectra. Physics Reports 316:4-5, pages 233-338.
Crossref
Jörg Main & Günter Wunner. (1998) Uniform semiclassical approximations for umbilic bifurcation catastrophes. Physical Review E 57:6, pages 7325-7328.
Crossref
PHILIP L. MARSTON. 1992. 1 234 .
T.C.M. Horn, A.W. Kleyn & B. Dijkhuis. (1991) Catastrophes and classical surface scattering. Chemical Physics 149:3, pages 275-298.
Crossref
J. B. Delos. (1987) Catastrophes and stable caustics in bound states of Hamiltonian systems. The Journal of Chemical Physics 86:1, pages 425-439.
Crossref
William H. Miller. (1986) Semiclassical Methods in Chemical Physics. Science 233:4760, pages 171-177.
Crossref
K. Millington & F. J. Wright. 1985. EUROCAL '85. EUROCAL '85 116 125 .
Philip L. Marston & Eugene H. Trinh. (1984) Hyperbolic umbilic diffraction catastrophe and rainbow scattering from spheroidal drops. Nature 312:5994, pages 529-531.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.