Sponsor
This work was supported by the Division of Chemical Sciences, Office of Energy Research, U.S. Department of Energy.
Published In
Physical Review A
Document Type
Article
Publication Date
2-1991
Subjects
Particles (Nuclear physics), Bessel functions, Phase transformations (Statistical physics)
Abstract
The closed analytic form for bound-state transitions due to projectile impact is found in the intermediate representation. The coordinate integral is obtained by evaluating the remaining two integrals in the general multicenter integral derived previously [J.C. Straton, Phys. Rev. A 41, 71 (1990)]. Evaluating the remaining time integral depends upon relating a sum of modified Bessel functions of the second kind KN+1/2(z) to a simple polynomial in 1/z. The results of Van Den Bos and De Heer [Physica 34, 333 (1967)] are shown to be missing a phase factor of (-i)(l′+l)
DOI
10.1103/PhysRevA.43.1381
Persistent Identifier
http://archives.pdx.edu/ds/psu/10996
Citation Details
Straton, Jack C. "First-order amplitude for general state-to-state transitions in hydrogen by projectile impact." Physical Review A 43.3 (1991): 1381. DOI: http://dx.doi.org/10.1103/PhysRevA.43.1381
Included in
Atomic, Molecular and Optical Physics Commons, Statistical, Nonlinear, and Soft Matter Physics Commons
Description
This is the publisher's final PDF. Article appears in Physical Review A (http://pra.aps.org/) and is copyrighted by APS Journals (http://publish.aps.org/)
At the time of publication Jack Straton was employed at Kansas State University.