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Aspects of Many-Body Effects in Molecules and Extended Systems pp 445–461Cite as

Hyperspherical Harmonics Methods for few- and Many-Body Problems

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Part of the book series: Lecture Notes in Chemistry ((LNC,volume 50))

Abstract

An ab-initio solution of the many body problem using the hyperspherical harmonics expansion method has been reviewed. Results of typical calculations has been compared with those by other methods. Merits and demerits of this method, especially when the number of particle increases, have been discussed. Finally a modification of this method, in which an integro-differential equation in two variables is set up, has been discussed. The integro-differential equation approach appears to be very convenient for the many body problem. Some results of calculation by this method have also been presented.

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Author information

Authors and Affiliations

  1. Physics Department, Burdwan University, Burdwan, W.B., 713104, India

    Tapan K. Das

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  1. Tapan K. Das
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Editor information

Editors and Affiliations

  1. Department of Physical Chemistry, Indian Association for the Cultivation of Science, Calcutta, 700-032, India

    D. Mukherjee

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© 1989 Springer-Verlag Berlin Heidelberg

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Das, T.K. (1989). Hyperspherical Harmonics Methods for few- and Many-Body Problems. In: Mukherjee, D. (eds) Aspects of Many-Body Effects in Molecules and Extended Systems. Lecture Notes in Chemistry, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61330-2_25

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  • DOI: https://doi.org/10.1007/978-3-642-61330-2_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50765-9

  • Online ISBN: 978-3-642-61330-2

  • eBook Packages: Springer Book Archive

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