Hyperspherical Harmonics Expansion Techniques

Name: Hyperspherical Harmonics Expansion Techniques
Brand: Springer, India, Private Ltd
SKU: 9788132223603
Price: 276.84 RON
Availability: InStock

Application to Problems in Physics

Autor: Tapan Kumar Das

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Legare: Copertă tare

Editura: Springer, India, Private Ltd

Disponibilitate: În depozitul extern

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The book provides a generalized theoretical technique for solving the fewbody Schrödinger equation....

Informații despre carte

Autor

Tapan Kumar Das

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2015

Pagini

159

EAN

9788132223603

ISBN

8132223608

Enbook ID

09216567

Editura

Springer, India, Private Ltd

Greutate

410

Dimensiuni

163 x 248 x 15

Descriere completă

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.

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Hyperspherical Harmonics Expansion Techniques

Application to Problems in Physics

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