This Resource Letter provides a guide to the literature on the emerging field of computational physics. While traditional textbooks, expositions, and conference proceedings are cited, we also cite URLs on the World Wide Web to guide the reader to current information.

From the Publisher:The rapid advancement of computational physics has left a gap in the available literature adequately covering this important subject. This book fills that need. It demonstrates how numerical methods are used to solve the problems that physicists face. Chapters discuss different types of computational problems, with exercises developed around problems of physical interest. Within each chapter, students are lead from discussions of elementary problems and simple numerical approaches through derivations of more complex and sophisticated methods. Includes non-standard material such as Monte Carlo Methods, orthogonal polynomials and computerized tomography, and uses FORTRAN as the programming language.

A numerical procedure to investigate the response of a hydrogen atom to an intense laser field by direct numerical solution. of the time-dependent Schrödinger equation is described. This method is nonperturbative and does not involve the eigenstates of the atom. The generation of the spectrum of scattered light, as well as the energy spectrum of the system after the laser pulse has passed, is discussed.

The response of a hydrogen atom to an intense nonresonant laser field is investigated by direct numerical solution of the time-dependent Schrodinger equation. This calculation is nonperturbative and does not involve the eigenstates of the field-free atom. An ionization rate for three-photon ionization is calculated and found to be in excellent agreement with previous values. The time-dependent electric dipole moment is calculated; its Fourier transform yields the spectrum of scattered light. Odd-order harmonic peaks through at least the 25th order are present in the spectrum.

The nonlinear Schrodinger equation arises naturally in a variety of physical processes; in particular, it is fundamentally important to nonlinear optics. Both the analytic and numerical solutions of this equation have been extensively investigated; a recent review by Taha and Ablowitz 1 suggests that for soliton propagation problems the method of Hardin and Tapped 2 is the superior numerical method. In this paper, the split operator Fourier transform (SOFT) method, originally due to Fleck et al., 3 is demonstrated to be applicable to the nonlinear Schrodinger equation. For the particular soliton problem studied, 4 the results obtained with the SOFT method are found to be an order of magnitude more accurate than those obtained with the Hardin-Tappert method.

A numerical procedure for determining highly accurate propagators employed in the integration of the single channel Schrödinger equation is developed. The foundations of this method lie in the Magnus approximation, and so share many of the characteristics of that approximation. Most notably, the new method preserves the wronskian, so that linear independence of solutions is guaranteed. The method is applied to determining propagators for the important cases of linear and quadratic reference potentials, accurate to seventh order in the stepsize. These propagators are then used in the calculation of the phase shift incurred in a model potential scattering problem. With a suitable method of fitting the reference potential, the error in the calculation of the phase shift was found to be of O(h 6), and the calculation to be orders of magnitude more accurate than the first order Magnus approximation.

A quantum-mechanical treatment is used to determine the total differential cross section for collisions of excited sodium atoms with xenon. A rainbowlike structure in the angular distribution is predicted for collisions involving sodium in the $^{2}P_{\frac{1}{2}}$ state.

Well-established quantum mechanical methods were used to calculate multipole cross sections in sodium–xenon collisions. The cross sections were opacity analyzed to determine the relative importance of various angular momenta; the relaxation of the alignment was found to be the multipole most dependent upon low angular momenta (e.g., small impact parameter) collisions. While all the cross sections reported are found to be in satisfactory agreement with experiment, the relaxation of occupation of the j=1/2 state was found to be in excellent agreement with recent experimental results.

It is demonstrated by means of a specific calculation that a velocity-changing radiative collision can lead to efficient isotope separation. Compared with photodissociative or photoionization techniques, selective scattering affords the advantage of a greater degree of control over the initial conditions, hence greater scope for optimization. This advantage is particularly important at the collision temperatures (\ensuremath{\sim}1 K), where radiative inelastic collisions are most efficient.

Transitions between the Zeeman states of a sodium atom induced bv collision with a ground-state xenon atom have been investigated by quantum-mechanical methods. The calculations were carried out using the pseudo-potentials of Czuchaj and Sienkiewicz, and results pertinent to crossed atomic beam experiments are reported. Comparison with previous theoretical work indicates that a thermally averaged cross section (relevant to cell-type experiment) would be in excellent agreement with recent experimental results.

A time-dependent, wave-packet description of atomic collisions in the presence of laser radiation is extracted from the more conventional time-independent, stationary-state description. This approach resolves certain difficulties of interpretation in the time-independent approach which arise in the case of asymptotic near resonance. In the two-state model investigated, the approach predicts the existence of three spherically scattered waves in this asymptotically near-resonant case.

ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTRecent theoretical chemical dynamics at Rochester in the paths of Joseph O. HirschfelderThomas F. George, I. Harold Zimmerman, Paul L. DeVries, Jian Min Yuan, Kai Shue Lam, Dilip K. Battacharyya, and Michael HutchinsonCite this: J. Phys. Chem. 1982, 86, 7, 1075–1086Publication Date (Print):April 1, 1982Publication History Published online1 May 2002Published inissue 1 April 1982https://pubs.acs.org/doi/10.1021/j100396a007https://doi.org/10.1021/j100396a007research-articleACS PublicationsRequest reuse permissionsArticle Views29Altmetric-Citations1LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access options Get e-Alerts

The collision of Na with Ar in the presence of two non-resonant lasers, the rhodamine-110 dye laser and the Nd: glass laser, is investigated within a quantum mechanical close-coupled formalism employing realistic potential curves and transition dipole matrix elements. Both one- and two-photon processes are investigated, as a function of the frequency of the dye laser as well as the collision energy. Cross sections on the order of 10-19-10-18 cm2 and 10-22 cm2 are found for the one- and two-photon processes, respectively, for field intensities of 1 MW/cm2.