Editorial:
Universidad Carlos III de Madrid, Departamento de Matemáticas
Fecha de edición:
1996
Cita:
Proceedings of the International Workshop on Orthogonal Polynomials in Mathematical Physics (IWOP'96), M. Alfaro et al (eds), p. 23-35
ISBN:
84-605-6154-2
Patrocinador:
The workshop was sponsored by Universidad Carlos III de Madrid, INTAS, Consejería de Educación y Cultura (Comunidad Autónoma de Madrid), Dirección General de Enseñanza Superior (Ministerio de Educación y Cultura of Spain).
The main aim of this work is to find analytical expressions for the eigenvalues and eigenfunctions corresponding to Dirac equation, for hot and dense matter. It is shown that the Laguerre polynomials depending on the effective charge are solutions for self-conThe main aim of this work is to find analytical expressions for the eigenvalues and eigenfunctions corresponding to Dirac equation, for hot and dense matter. It is shown that the Laguerre polynomials depending on the effective charge are solutions for self-consistent fields. To determine the screening constant and affective charge we introduce and minimize a functional. These formulas are accurate for machine calculation of bound-bound, bound-free and free-free transitions, including large values of principal quantum numbers. Hence these expressions would be in accordance with quantum-statistical results based on more sophisticated calculations. Comparison with the solutions of the Schrödinger equation for different substancies are discussed.[+][-]
Nota:
13 pages, 2 figures.-- MSC2000 codes: 33C45, 82B10, 42C05, 81Q05.-- Contributed to: International Workshop on Orthogonal Polynomials in Mathematical Physics (IWOP'96, in honour of Professor André Ronveaux, Leganés, Spain, June 24-26, 1996).
