orthogonal polynomials, variation of zeros, Hellmann-Feynman theorem, special functions
The Hellmann-Feynman theorem is presented together with certain allied theorems. The origin of the Hellmann-Feynman theorem in quantum physical chemistry is described. The theorem is stated with proof and with discussion of applicability and reliability. Some adaptations of the theorem to the study of the variation of zeros of special functions and orthogonal polynomials are surveyed. Possible extensions are discussed.
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Master of Science (M.S.)
College of Arts and Sciences
Length of Campus-only Access
Masters Thesis (Open Access)
Wallace, David, "An Introduction To Hellmann-feynman Theory" (2005). Electronic Theses and Dissertations. 413.