Il Nuovo Cimento A (1965-1970)

, Volume 68, Issue 4, pp 612–622 | Cite as

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

  • J. Raynal
  • J. Revai


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.


Transformation Coefficient Oscillator Wave Function Energy Conservation Relation Hyperspherical Function Hyperspherical Approach 
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Преобраэование коЭффициентов при гиперсферическом подходе к проблеме трех тел


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.


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.


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Copyright information

© Società Italiana di Fisica 1970

Authors and Affiliations

  • J. Raynal
    • 1
  • J. Revai
    • 1
  1. 1.Service de Physique ThéoriqueCentre d’Etudes Nucléaires de SaclayGif-sur-Yvette

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