Download Hyperspherical Harmonics Expansion Techniques: Application by Tapan Kumar Das PDF

By Tapan Kumar Das

The e-book offers a generalized theoretical strategy for fixing the fewbody Schrödinger equation. uncomplicated ways to unravel it by way of place vectors of constituent debris and utilizing typical mathematical concepts develop into too bulky and inconvenient while the process includes greater than debris. The creation of Jacobi vectors, hyperspherical variables and hyperspherical harmonics as a spread foundation is a sublime solution to take on systematically the matter of progressively more interacting debris. Analytic expressions for hyperspherical harmonics, applicable symmetrisation of the wave functionality lower than trade of exact debris and calculation of matrix components of the interplay were awarded. functions of this system to varied difficulties of physics were mentioned. despite easy generalization of the mathematical instruments for expanding variety of debris, the tactic turns into computationally tough for various debris. for that reason a number of 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 method of a big variety of debris. A bankruptcy on unique numerical algorithms has additionally been supplied. This monograph is a reference fabric for theoretical study within the few-body difficulties for learn employees ranging from complicated graduate point scholars to senior scientists.

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