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Potential Harmonics

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Hyperspherical Harmonics Expansion Techniques

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Abstract

Potential harmonics (PH) basis is the subset of HH, which is sufficient for expansion of two-body potential. It includes only two-body correlations. PH is appropriate for a sufficiently dilute system, in which only two-body correlations are relevant. Closed analytic expression for the PH is derived. Potential multipoles for this basis and overlap of PHs of different pairs are obtained. Use of symmetrized and unsymmetrized PH bases have also been discussed.

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References

  1. Fabre de la Ripelle, M.: Ann. Phys. (N.Y.) 147, 281 (1983)

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  2. Fabre de la Ripelle, M.: Few-Body Syst. 1, 181 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  3. Fabre de la Ripelle, M., Fiedeldey, H., Sofianos, S.A.: Phys. Rev. C 38, 449 (1988)

    Article  ADS  Google Scholar 

  4. Fabre de la Ripelle, M., Ballot, J.L., Navarro, J.: Phys. Lett. B 143, 19 (1984)

    Article  ADS  Google Scholar 

  5. Yalcin, Z., Simsek, M.: Int. J. Quan. Chem. 88, 735 (2002)

    Article  Google Scholar 

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Correspondence to Tapan Kumar Das .

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Das, T.K. (2016). Potential Harmonics. In: Hyperspherical Harmonics Expansion Techniques. Theoretical and Mathematical Physics. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2361-0_7

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  • DOI: https://doi.org/10.1007/978-81-322-2361-0_7

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2360-3

  • Online ISBN: 978-81-322-2361-0

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