Sturmian eigenvalue equations with a Bessel function basis

Journal Article · Sat Mar 01 04:00:00 EST 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527186· OSTI ID:6074379

Rawitscher, G H; Delic, G

A non-self-adjoint Sturmian eigenvalue equation of the form Av = f, encountered in quantum scattering theory, is solved as a complex general matrix eigenvalue problem. The matrix form is obtained on expansion of the solution in a discrete set of spherical Sturmian--Bessel functions of complex argument. This set of basis functions gives better convergence behavior for both the eigenvalues and eigenfunctions when compared to the results of a Chebyshev polynomial method reported previously.

• Research Organization: Department of Physics, University of Connecticut, Storrs, Connecticut 06268
• OSTI ID: 6074379
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:3; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
BESSEL FUNCTIONS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
ELASTIC SCATTERING
EQUATIONS
FUNCTIONS
MATRICES
POLYNOMIALS
POTENTIAL SCATTERING
S MATRIX
SCATTERING