Applications of matrix pade approximants in potential theory
Journal Article
·
· Ann. Phys. (N.Y.); (United States)
The method of variational matrix Pade approximants is seen to unify the Green's function method and the variational principle for calculating scattering amplitudes. The surprising result that exact answers can be obtained for square well potentials is thereby proved, and the remarkable accuracy of the matrix Pade method for more general potentials is explained.
- Research Organization:
- Mathematical Institute, University of Kent, Canterbury, Kent, England
- OSTI ID:
- 6499541
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 114:1; ISSN APNYA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON-BARYON INTERACTIONS
BORN APPROXIMATION
FUNCTIONS
GREEN FUNCTION
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATRICES
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PADE APPROXIMATION
PARTICLE INTERACTIONS
POTENTIALS
S MATRIX
SCATTERING LENGTHS
SCHWINGER VARIATIONAL METHOD
SQUARE-WELL POTENTIAL
VARIATIONAL METHODS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON-BARYON INTERACTIONS
BORN APPROXIMATION
FUNCTIONS
GREEN FUNCTION
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATRICES
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PADE APPROXIMATION
PARTICLE INTERACTIONS
POTENTIALS
S MATRIX
SCATTERING LENGTHS
SCHWINGER VARIATIONAL METHOD
SQUARE-WELL POTENTIAL
VARIATIONAL METHODS