书目名称 | Hyperspherical Harmonics Expansion Techniques |
副标题 | Application to Probl |
编辑 | Tapan Kumar Das |
视频video | http://file.papertrans.cn/431/430695/430695.mp4 |
概述 | Presents an ab initio quantum mechanical treatment of few-body systems like light nuclei, few-electron atoms, small molecules and clusters.Useful reference material for research workers starting from |
丛书名称 | Theoretical and Mathematical Physics |
图书封面 |  |
描述 | 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 tackl |
出版日期 | Book 2016 |
关键词 | Bose-Einstein Condensates; Few-body Problems; Hyperspherical Harmonics; Trinucleon System; Trinucleon Sy |
版次 | 1 |
doi | https://doi.org/10.1007/978-81-322-2361-0 |
isbn_softcover | 978-81-322-3793-8 |
isbn_ebook | 978-81-322-2361-0Series ISSN 1864-5879 Series E-ISSN 1864-5887 |
issn_series | 1864-5879 |
copyright | Springer Nature India Private Limited 2016 |