Keywords
orthogonal polynomials, variation of zeros, Hellmann-Feynman theorem, special functions
Abstract
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.
Notes
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Graduation Date
2005
Semester
Spring
Advisor
Ismail, Mourad
Degree
Master of Science (M.S.)
College
College of Arts and Sciences
Department
Mathematics
Degree Program
Mathematics
Format
application/pdf
Identifier
CFE0000403
URL
http://purl.fcla.edu/fcla/etd/CFE0000403
Language
English
Release Date
May 2005
Length of Campus-only Access
None
Access Status
Masters Thesis (Open Access)
STARS Citation
Wallace, David, "An Introduction To Hellmann-feynman Theory" (2005). Electronic Theses and Dissertations. 413.
https://stars.library.ucf.edu/etd/413