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Application of Entangled State Representation to Deriving Normally Ordered Expansion of 1-Dimensional Coulomb Potential

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Abstract

Guided by Dirac’s advice that “When one has a particular problem to work out in quantum mechanics, one can minimize the labour by using a representation in which the representatives of the more important abstract quantities occurring in that problem are as simple as possible,’’ we construct the entangled state representation to derive the normally ordered expansion formula of the 1-dimensional two-body Coloumb potential. The method of integration within an ordered product of operators is also used. Further application of the new formula in some perturbation calculation is discussed.

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References

  • Bennett, C. H., et al. (1993). Physical Review Letters 70, 1895.

    PubMed  Google Scholar 

  • Braunstein, S. L. and Kimble, H. J. (1998). Physical Review Letters 80, 869.

    CAS  Google Scholar 

  • Dirac, P. A. M. (1958). Principles of Quantum Mechanics, 3rd edn, Oxford University Press.

  • DiVincenzo, D. P. (1995). Science 270, 255.

    CAS  Google Scholar 

  • Einstein, A., Podolsky, B., and Rosen, N. (1935). Physical Review 47, 777.

    CAS  Google Scholar 

  • Ekert, A. and Josza, R. (1996). Review of Modern Physics 68, 733.

    CAS  Google Scholar 

  • Glauber R. J. (1963). Physical Review 130, 1529.

    Google Scholar 

  • Gould, H. W. (1972). Combinatorial Identities, Morgantown.

  • Gradshteyn, I. S. and Ryzhik, I. M. (1980). In Alan Jeffery (ed.), Table of Integrals, Series and Products, Academic Press, New York.

    Google Scholar 

  • Hong-yi, F., Zaidi, H. R., and Klauder, J. R. (1987). Physal Review D 35, 1831.

    Google Scholar 

  • Hong-yi, F. and Klauder, J. R. (1994). Physical Review A 49, 704.

    CAS  PubMed  Google Scholar 

  • Hong-yi, F. and Yue, F. (1996). Physical Review A 54, 958.

    CAS  PubMed  Google Scholar 

  • Hong-yi, F. (2003). Journal of Optics B: Quanum Semiclass Optics R 5, R141.

    Google Scholar 

  • Hongyi, F. (2002). Physical Review A 65, 064102.

    Google Scholar 

  • Hong-yi, F. and Liang, F. (2003). Journal of Physics A 36, 4987.

    Google Scholar 

  • Hong-yi, F. (2002). Physica Letters A 294, 253.

    Google Scholar 

  • Huches, C. A., et al. (1997). Physcal Review A 56, 1163, and references therein.

    Google Scholar 

  • Klauder, J. R. and Skargerstam, B. S. (1985). Coherent States, World Scientific, and many references therein.

  • Louisell, W. H. (1973). Quantum Statistical Properties of Radiation, New York, John Wiley.

    Google Scholar 

  • Wünsche, A. (1999). Journal of Optics B: Qaunum Semiclass Optics R 1, 11.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Material Science and Engineering, University of Science, and Technology of China, Hefei, Anhui, 230026, China

    Hong-yi Fan

  2. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China

    Hong-yi Fan

  3. Special Class for the Gifted Young, University of Science and Technology of China, Hefei, Anhui, 230026

    Liang Fu

Authors
  1. Hong-yi Fan
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  2. Liang Fu
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Fan, Hy., Fu, L. Application of Entangled State Representation to Deriving Normally Ordered Expansion of 1-Dimensional Coulomb Potential. Int J Theor Phys 44, 529–538 (2005). https://doi.org/10.1007/s10773-005-3980-y

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  • DOI: https://doi.org/10.1007/s10773-005-3980-y

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