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Transformation coefficients in the hyperspherical approach to the three-body problem

Преобраэование коЭффициентов при гиперсферическом подходе к проблеме трех тел

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Il Nuovo Cimento A (1965-1970)

Summary

The transformation from one set of Jacobi co-ordinates to another for hyperspherical functions is closely related to the Talmi-Moshinsky transformation for two particles in an oscillator well. The corresponding coefficients are calculated analytically.

Riassunto

Si collega strettamente la trasformazione da un sistema di coordinate di Jacobi ad un altro per funzioni ipersferiche alla trasformazione di Talmi-Moshinsky per due particelle in una buca di oscillatore. Si calcolano analiticamente i coefficienti corrispondenti.

Реэуме

Преобраэование от однои системы координат Якоби к другои для гиперсферических функции тесно свяэано с преобраэованием Талми-Мощин-ского для двух частиц в осцилляторнои яме. Аналитически вычисляутся соответствуушие коЭффициенты.

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Author notes

  1. J. Revai

    Present address: the Central Research Institute of Physics, Budapest

Authors and Affiliations

  1. Service de Physique Théorique, Centre d’Etudes Nucléaires de Saclay, Gif-sur-Yvette

    J. Raynal & J. Revai

Authors
  1. J. Raynal
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  2. J. Revai
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Raynal, J., Revai, J. Transformation coefficients in the hyperspherical approach to the three-body problem. Nuovo Cimento A (1965-1970) 68, 612–622 (1970). https://doi.org/10.1007/BF02756127

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  • DOI: https://doi.org/10.1007/BF02756127

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