The J-Matrix Method

Hashim A. Yamani

ISBN 10: 9048175275 / ISBN 13: 9789048175277

Edité par Springer Netherlands Okt 2010, 2010

A propos de cet article

This item is printed on demand - it takes 3-4 days longer - Neuware -Although introduced30 years ago, the J-matrix method has witnessed a resurgence of interest in the last few years. In fact, the interest never ceased, as some authors have found in this method an effective way of handling the continuous spectrum of scattering operators, in addition to other operators. The motivation behind the introduction of the J-matrix method will be presented in brief. The introduction of fast computing machines enabled theorists to perform cal- lations, although approximate, in a conveniently short period of time. This made it possible to study varied scenarios and models, and the effects that different possible parameters have on the nal results of such calculations. The rst area of research that bene ted from this opportunity was the structural calculation of atomic and nuclear systems. The Hamiltonian element of the system was set up as a matrix in a convenient, nite, bound-state-like basis. A matrix of larger size resulted in a better con guration interaction matrix that was subsequently diagonalized. The discrete energy eigenvalues thus obtained approximated the spectrum of the system, while the eigenfunctions approximated the wave function of the resulting discrete state. Structural theorists were delighted because they were able to obtain very accurate values for the lowest energy states of interest. 376 pp. Englisch.

N° de réf. du vendeur 9789048175277

Détails bibliographiques

• Titre: The J-Matrix Method
• Éditeur: Springer Netherlands Okt 2010
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 9048175275
• ISBN à 13 chiffres: 9789048175277
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 21 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 21 millimètres de profondeur
• Poids: 569 grammes

A propos de ce titre

Synopsis

Although introduced30 years ago, the J-matrix method has witnessed a resurgence of interest in the last few years. In fact, the interest never ceased, as some authors have found in this method an effective way of handling the continuous spectrum of scattering operators, in addition to other operators. The motivation behind the introduction of the J-matrix method will be presented in brief. The introduction of fast computing machines enabled theorists to perform cal- lations, although approximate, in a conveniently short period of time. This made it possible to study varied scenarios and models, and the effects that different possible parameters have on the ?nal results of such calculations. The ?rst area of research that bene?ted from this opportunity was the structural calculation of atomic and nuclear systems. The Hamiltonian element of the system was set up as a matrix in a convenient, ?nite, bound-state-like basis. A matrix of larger size resulted in a better con?guration interaction matrix that was subsequently diagonalized. The discrete energy eigenvalues thus obtained approximated the spectrum of the system, while the eigenfunctions approximated the wave function of the resulting discrete state. Structural theorists were delighted because they were able to obtain very accurate values for the lowest energy states of interest.

Présentation de l'éditeur

This volume aims to provide the fundamental knowledge to appreciate the advantages of the J-matrix method and to encourage its use and development. J-matrix is an algebraic method of quantum scattering with substantial success in atomic and nuclear physics.