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Author Burgess, A.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ELECTRIC FIELDS ♦ ENERGY ♦ QUANTITATIVE ANALYSIS ♦ QUANTUM MECHANICS ♦ SCHROEDINGER EQUATION ♦ TABLES ♦ WKB APPROXIMATION
Abstract The asymptotic forms of the positive energy solutions of the radial Schrodinger equation for a modified Coulomb field are investigated, using both the Jeffreys or WKB method, and the analytic properties of the solutions for an unmodified Coulomb field. The neutral case is also treated. Analytic expressions for the phases associated with modifying potentials of the form alpha r/sup -2/ + BETA r/sup -3/ + gamma r/sup -4/ are obtained, so that the phases and amplitudes of solutions may easily be determined, to sufficient accuracy for most purposes, for any potential of physical interest. A short table of regalar and irregular Coulomb functions is given. (auth)
Educational Use Research
Learning Resource Type Article
Publisher Date 1963-03-01
Volume Number 81
Organization London Univ.


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