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Discrete-basis-set approach to the minimum-variance method in electron scattering

Levin, Deborah A. and Rescigno, Thomas N. and McKoy, Vincent (1977) Discrete-basis-set approach to the minimum-variance method in electron scattering. Physical Review A, 16 (1). pp. 157-162. ISSN 0556-2791. doi:10.1103/PhysRevA.16.157.

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We show that the minimization of the variance integral provides a method for the determination of scattering wave functions which uses discrete basis functions exclusively. By using a separable representation of the scattering potential only one new class of matrix elements appears in the evaluation of the variance integral which is not already required in the diagonalization of the Hamiltonian. The choice of Gaussian basis functions for the expansion of the scattering wave function should make the method particularly applicable to electron-molecule scattering. Some advantages and limitations of the method are discussed.

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Additional Information:©1977 The American Physical Society Received 3 May 1976; revised 12 November 1976 We want to thank Larry Yaffe and Dr. C. William McCurdy, Jr., for helpful discussions in the early stages of this work. We also thank Dr. Andrew Hazi for extensive clarification of the contents of Ref. 16. Supported by a grant from the National Science Foundation. This work [T.N.R.] was performed under the auspices of the U.S. Energy Research and Development Administration under Contract No. W-7405-ENG-48.
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Deposited On:08 Nov 2006
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