Hyperspherical Harmonics Expansion Techniques: Application by Tapan Kumar Das

By Tapan Kumar Das

The publication offers a generalized theoretical strategy for fixing the fewbody Schrödinger equation. undemanding methods to unravel it when it comes to place vectors of constituent debris and utilizing common mathematical concepts develop into too bulky and inconvenient whilst the approach comprises greater than debris. The creation of Jacobi vectors, hyperspherical variables and hyperspherical harmonics as a selection foundation is a sublime technique to take on systematically the matter of a growing number of interacting debris. Analytic expressions for hyperspherical harmonics, applicable symmetrisation of the wave functionality below trade of exact debris and calculation of matrix parts of the interplay were awarded. functions of this method to numerous difficulties of physics were mentioned. inspite of user-friendly generalization of the mathematical instruments for expanding variety of debris, the tactic turns into computationally tough for various debris. therefore quite a few approximation tools have additionally been mentioned. Chapters at the power harmonics and its program to Bose-Einstein condensates (BEC) were incorporated to take on dilute approach of a big variety of debris. A bankruptcy on particular numerical algorithms has additionally been supplied. This monograph is a reference fabric for theoretical learn within the few-body difficulties for learn staff ranging from complex graduate point scholars to senior scientists.

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