Laguerre polynomials in a relativistic quantum-statistical model

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Show simple item record Arvesú, Jorge 2010-01-18T13:08:57Z 2010-01-18T13:08:57Z 1996
dc.identifier.bibliographicCitation Proceedings of the International Workshop on Orthogonal Polynomials in Mathematical Physics (IWOP'96), M. Alfaro et al (eds), p. 23-35
dc.identifier.isbn 84-605-6154-2
dc.description 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).
dc.description MR#: MR1466766 (98i:33009)
dc.description Zbl#: Zbl 0951.33009
dc.description.abstract 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-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.
dc.description.sponsorship 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).
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Universidad Carlos III de Madrid, Departamento de Matemáticas
dc.subject.other Dirac equation
dc.subject.other Orthogonal polynomials
dc.subject.other Quantum-statistical mechanics
dc.title Laguerre polynomials in a relativistic quantum-statistical model
dc.type conferenceObject
dc.type article PeerReviewed
dc.description.status Publicado
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
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