Download e-book for iPad: Hyperspherical Harmonics Expansion Techniques: Application by Tapan Kumar Das

By Tapan Kumar Das

ISBN-10: 8132223608

ISBN-13: 9788132223603

The booklet offers a generalized theoretical procedure for fixing the fewbody Schrödinger equation. simple techniques to resolve it by way of place vectors of constituent debris and utilizing common mathematical strategies turn into too bulky and inconvenient while the method includes greater than debris. The advent of Jacobi vectors, hyperspherical variables and hyperspherical harmonics as a spread foundation is a sublime strategy to take on systematically the matter of increasingly more 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 provided. functions of this method to numerous difficulties of physics were mentioned. inspite of trouble-free generalization of the mathematical instruments for expanding variety of debris, the strategy turns into computationally tricky for various debris. for that reason a variety of approximation tools have additionally been mentioned. Chapters at the capability harmonics and its software to Bose-Einstein condensates (BEC) were integrated to take on dilute procedure of a giant variety of debris. A bankruptcy on specified numerical algorithms has additionally been supplied. This monograph is a reference fabric for theoretical learn within the few-body difficulties for examine employees ranging from complicated graduate point scholars to senior scientists.

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Hyperspherical Harmonics Expansion Techniques: Application to Problems in Physics (Theoretical and Mathematical Physics) by Tapan Kumar Das


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