Skip to main content
Log in

Antisymmetrization in relative co-ordinates. II: Fractional-parentage coefficients

Антисимметризация в относительных координатах. —II: Относительные исходные козффициенты

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

In the framework of a theory to construct an antisymmetrized basis in relative co-ordinates for anN-nucleon system, a method to calculate the 〈N|N−1> fractional-parentage coefficients is given. The theory, which involves the main properties of the Young-Yamanouchi orthogonal representation of the permutation groupS N, gives the orbital f.p.c. as solutions of an algebraic system of linear homogeneous equations.

Riassunto

Nell'ambito di una teoria per costruire una base antisimmetrica in coordinate relative per un sistema diN nucleoni, si presenta un metodo per calcolare i coefficienti di parentela fraziona 〈N|N−1 〉. La teoria, che fa uso delle principali proprietà. della rappresentazione ortogonale di Young-Yamanouchi del gruppo delle permutazioniS N, dà i c.p.f. come soluzioni di un sistema di equazioni algebriche lineari omogence.

Резюме

В рамках теории построения антисимметризованного базиса в относительных координатах для системыN-нуклонов предлагается метод вычисления 〈N|N−1〉 относительных исходных козффициентов. Теория, которая включает главные свойства ортогонального представления юнга-Ямануки для группы перестановокS N, определяет орбитальные относительные исходные козффициенты, как решение алгебраической системы линейных однородных уравнений.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. F. Miglietta:Nuovo Cimento,22 A, 57 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  2. F. Miglietta:Lett. Nuovo Cimento,4, 1088 (1970).

    Article  Google Scholar 

  3. In ref. (1) the relative co-ordinates,x of eq. (1.1) are indicated withX.

    Article  MathSciNet  ADS  Google Scholar 

  4. T. Yamanouchi:Proc. Phys.-Math. Soc. Japan, (3),19, 436 (1937).

    Google Scholar 

  5. M. Hamermesh:Group Theory and Its Application to Physical Problems (Reading, Mass., 1962).

  6. See,e.g.,H. A. Jahn andH. von Wierigen:Proc. Phys. Soc.,209 A, 502 (1951).

    Google Scholar 

  7. See,e.g.,A. Gal:Ann. of Phys.,46, 341 (1968), and references quoted there.

    Article  ADS  Google Scholar 

  8. H. A. Jahn:Proc. Roy. Soc., A205, 192 (1951).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Miglietta, F. Antisymmetrization in relative co-ordinates. II: Fractional-parentage coefficients. Nuov Cim A 22, 66–78 (1974). https://doi.org/10.1007/BF02823051

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02823051

Navigation