An L2 expansion of Yamani and Reinhardt [I9751 which employs non-orthogonal, square integrable functions of Laguerre type is used to approximate Coulomb wave functions of continuum and bound states. The convergence of L2 approximations to continuum and bound states is investigated in the hydrogenic case. The connection between the L2 approximation and pseudo states is derived by studying the completeness relation for the exact states and the quadrature approximations. Corresponding equivalent weights are shown to be related to a Gaussian quadrature derived from attractive-Coulomb Pollaczek polynomials. Gaussian quadrature rules that are satisfied are calculated numerically. The use of pseudo states in the close-coupling equations is discussed especially in relation to the Poet [1978] model which gives a highly accurate solution for a simplified model of electron-hydrogen collisions in which only s-wave hydrogen target states are admitted. The convergence of channel potentials which contribute to the close-coupling equations is then examined and discussed the convergence of pseudostate Born amplitudes is studied as a further test in obtaining a good pseudo-state set. In addition, the convergence rate of the L2 approximation to the bound-bound, bound-free channel and free-free channel potentials is examined. The bound-bound, bound-free potentials are shown to converge geometrically while the free-free potentials have very slow convergence. In order to examine the effect of convergence rates several detailed models are employed and compared with the full Poet calculations. Elastic, discrete inelastic, total ionisation and inelastic cross-sections are presented for the energy interval 1.0 to 3.5 Rydbergs. Triplet scattering is reproduced excellently. Singlet scattering displays minor pseudo-resonance structure for the largest (10 basis set) calculations. Weak coupling approximations are examined. They perform very well in triplet scattering but decidedly less well for the singlet channel.

Thesis (Ph.D.)--York University, 2006. Graduate Programme in Physics and Astronomy. / Typescript. Includes bibliographical references (leaves 161-166). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:NR29528

Thesis (M.S.)--University of Texas at El Paso, 2009. / Title from title screen. Vita. CD-ROM. Includes bibliographical references. Also available online.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1963. / Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 68-69).

Thesis (Ph. D.)--University of Wisconsin--Madison, 1967. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis--University of Florida. / Description based on print version record. Typescript. Vita. Includes bibliographical references (leaves 105-109).

Thesis (Ph. D. in Physics)--University of California, Berkeley, June 1958. / Includes bibliographical references (leaves 73-74).

Thesis (Ph. D. in Physics)--University of California, Berkeley, Sept. 1958. / Includes bibliographical references (leaves 70-71).

Thesis (Ph. D.)--University of Wisconsin--Madison, 1959. / Typescript. Vita. Includes source code for computer programs in Fortran. Includes (as Part IV): Some molecular collision integrals for point attraction and repulsion potentials / By M.A. Eliason, D.E. Stogryn, and J.O. Hirschfelder. Reprinted from Proceedings of the National Academy of Sciences, vol. 42, no. 8 (Aug. 1956), p. [546]-559 -- (as Part V): The estimation of the transport properties for electronically excited atoms and molecules / By Joseph O. Hirschfelder and Morton A. Eliason. Reprinted from Annals of the New York Academy of Sciences, vol. 67, article 9 (24 May 1957), p. 451-461. Includes bibliographical references.

Thesis (Ph. D. in Physics)--University of California, Berkeley, Jan. 1961. / Also published as UCRL-9191. TID-4500 15 th Ed. Includes bibliographical references (leaves 129-131).