A non-selfadjoint general matrix eigenvalue problem
The eigenvalue problem for the partial-wave Schrödinger equation with central-symmetric and complex potential is subject to numerical study, in order to be used in nuclear physics (in the frame work of an optical model). The algorithms use an approximation which approximates the \(L^ 2(0,\infty)\) eigenvalue problem by an \(L^ 2(0,A)\) problem, with suitable large A. Then the resulting eigenvalue problem is reduced to an algebraically one by approximating the wave function by Chebyshev polynomials. Several numerical experiments are performed.
non-self-adjoint Sturmian eigenvalue equation
scientific article; zbMATH DE number 4102412
scientific article