Téléchargez le livre : Hyperspherical Harmonics Expansion Techniques

Hyperspherical Harmonics Expansion Techniques

Application to Problems in Physics de

Éditeur :

Springer


Collection :

Theoretical and Mathematical Physics

Paru le : 2015-11-26

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Description
The book provides a generalized theoretical technique for solving the fewbody Schrödinger equation. Straight forward approaches to solve it in terms of position vectors of constituent particles and using standard mathematical techniques become too cumbersome and inconvenient when the system contains more than two particles. The introduction of Jacobi vectors, hyperspherical variables and hyperspherical harmonics as an expansion basis is an elegant way to tackle systematically the problem of an increasing number of interacting particles. Analytic expressions for hyperspherical harmonics, appropriate symmetrisation of the wave function under exchange of identical particles and calculation of matrix elements of the interaction have been presented. Applications of this technique to various problems of physics have been discussed. In spite of straight forward generalization of the mathematical tools for increasing number of particles, the method becomes computationally difficult for more than a few particles. Hence various approximation methods have also been discussed. Chapters on the potential harmonics and its application to Bose-Einstein condensates (BEC) have been included to tackle dilute system of a large number of particles. A chapter on special numerical algorithms has also been provided. This monograph is a reference material for theoretical research in the few-body problems for research workers starting from advanced graduate level students to senior scientists.
Pages
159 pages
Collection
Theoretical and Mathematical Physics
Parution
2015-11-26
Marque
Springer
EAN papier
9788132223603
EAN PDF
9788132223610
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
15
Taille du fichier
2447 Ko
Prix
52,74 €
EAN EPUB
9788132223610
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
15
Taille du fichier
2396 Ko
Prix
52,74 €

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