Skip to main content
SpringerLink
Log in

Symmetrized Wavefunctions in a Quantum N-Body System

  • Published:
Foundations of Physics Letters

Abstract

A general method for symmetrizing the generalized radial functions in a quantum N-body system to belong to the irreducible representation of the proper point symmetry group of the system is presented, based on irreducible bases in the point group space.

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

Access this article

Log in via an institution

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. M. Viviani, Few-Body Systems 25, 177 (1998).

    Article  ADS  Google Scholar 

  2. R. Krivec, Few-Body Systems 25, 199 (1998), and references therein.

    Article  ADS  Google Scholar 

  3. Zhong-Qi Ma, Found. Phys. Lett. 13, 167 (2000).

    Article  MathSciNet  Google Scholar 

  4. E. P. Wigner, Group Theory and its Application to the Quantum Mechanics of Atomic Spectra (Academic, New York, 1959).

    MATH  Google Scholar 

  5. Zhong-Qi Ma, Science in China A 43, 1093 (2000).

    Article  ADS  Google Scholar 

  6. R. Lemus and A. Frank, J. Chem. Phys. 101, 8321 (1994).

    Article  ADS  Google Scholar 

  7. Zhong-Qi Ma, Xi-Wen Hou, and Mi Xie, Phys. Rev. A 53, 2173 (1996).

    Article  ADS  MathSciNet  Google Scholar 

  8. F. Iachello and S. Oss, J. Mol. Spectrosc. 153, 225 (1992).

    Article  ADS  Google Scholar 

  9. F. Iachello and S. Oss, Phys. Rev. Lett. 66, 2696 (1991).

    Article  Google Scholar 

  10. J. L. Dunham, Phys. Rev. 41, 721 (1932). G. Herzberg, Infrared and Raman Spectra (Van Nostrand, Princeton, 1945).

    Article  ADS  Google Scholar 

  11. T. J. Lee, J. M. L. Martin, and P. R. Taylor, J. Chem. Phys. 102, 254 (1995).

    Article  ADS  Google Scholar 

  12. F. Iachello and R. D. Levine, J. Chem. Phys. 77, 3046 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  13. See, e.g., A. R. Edmonds, Angular Momentum in Quantum Mechanics (University Press, Princeton, 1957).

    MATH  Google Scholar 

  14. M. Hamermesh, Group Theory and Its Application to Physical Problems (Addison-Wesley, Reading, Massachusetts, 1962).

    MATH  Google Scholar 

  15. Shi-Hai Dong, Xi-Wen Hou, and Zhong-Qi Ma, Inter. J. Theor. Phys. 37, 841 (1998)

    Article  MathSciNet  Google Scholar 

  16. Shi-Hai Dong, Xi-Wen Hou, Mi Xie, and Zhong-Qi Ma, Inter. J. Theor. Phys. 37, 2135 (1998)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of College Computer Education, Hu'nan Normal University, Changsha, 410081, The People's Republic of China

    Lu-Ya Wang

  2. Institute of High Energy Physics, Beijing, 100039, The People's Republic of China

    Xiao-Yan Gu, Bin Duan & Zhong-Qi Ma

Authors
  1. Lu-Ya Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiao-Yan Gu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bin Duan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhong-Qi Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, LY., Gu, XY., Duan, B. et al. Symmetrized Wavefunctions in a Quantum N-Body System. Found Phys Lett 14, 65–76 (2001). https://doi.org/10.1023/A:1012081328894

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1012081328894

Search

Navigation