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Integral Model of Point Potential

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Journal of Russian Laser Research Aims and scope

Abstract

An integral model of the point potential in three-dimensional space is suggested. Unlike the conventional model with a derivative, the integral model admits a smooth state transition of two point centers into the state of a single center by the reduction of the distance between the centers down to zero.

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References

  1. S. Albeverio, F. Gestesy, R. H. Hoegh Krohn, and H. Holden, Solvable Models in Quantum Mechanics, Springer, Berlin (1988).

    Google Scholar 

  2. Yu. N. Demkov and V. N. Ostrovskii, Zero-Range Potentials and Their Application in Atomic Physics, Plenum Press, New York (1989).

    Google Scholar 

  3. G. Breit, Ann. Phys., 34, 400 (1965).

    Article  Google Scholar 

  4. S. K. Zhdanov and A. S. Chikhachev, Sov. Phys. Doklady, 19, 696 (1974).

    Google Scholar 

  5. E. A. Solov’ev, Teor. Mat. Fiz., 28, 757 (1976).

    Google Scholar 

  6. W. Dappen, J. Phys. B, 10, 2399 (1977); H. Danared, J. Phys. B, 17, 2619 (1984).

    Google Scholar 

  7. G. Scheitler and M. Kleber, Phys. Rev. A, 42, 55 (1990).

    Article  PubMed  Google Scholar 

  8. M. Andreata and V. V. Dodonov, J. Phys. A: Math. Gen., 37, 2423 (2004).

    Article  Google Scholar 

  9. V. I. Man’ko and A. S. Chikhachev, Phys. At. Nucl., 64, 1457 (2001).

    Article  Google Scholar 

  10. A. S. Chikhachev, Zh. Eksp. Teor. Fiz., 98, 882 (2004).

    Article  Google Scholar 

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Chikhachev, A.S. Integral Model of Point Potential. J Russ Laser Res 26, 273–276 (2005). https://doi.org/10.1007/s10946-005-0020-6

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  • DOI: https://doi.org/10.1007/s10946-005-0020-6

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