Skip to main content
SpringerLink
Log in

Determination of the Scattering Amplitude in a Limited Area of Calculation

  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

An algorithm based on direct discretization of a two-dimensional equation is proposed for numerically solving the problem of two-dimensional scattering. The asymptotic distance is reduced by presenting the solution as the sum of free waves. The usefulness of the developed algorithm is demonstrated by solving the problem of scattering on a nonspherical core.

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

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. Krassovitskiy, P.M. and Penkov, F.M., Bull. Russ. Acad. Sci.: Phys., 2017, vol. 81, p. 730.

    Article  Google Scholar 

  2. Krassovitskiy, P.M. and Penkov, F.M., Bull. Russ. Acad. Sci.: Phys., 2018, vol. 82, p. 669.

    Article  MathSciNet  Google Scholar 

  3. Krassovitskiy, P.M. and Pen’kov, F.M., J. Phys. B, 2014, vol. 47, p. 225210.

    Article  ADS  Google Scholar 

  4. Mathaes, R., Winter, G., Besheer, A., et al., Expert Opin. Drug Delivery, 2015, vol. 12, p. 481.

    Article  Google Scholar 

  5. Ikot, A.N., Akpan, I.O., Abbey, T.M., et al., Commun. Theor. Phys., 2015, vol. 65, p. 569.

    Article  Google Scholar 

  6. Statt, A., Virnau, P., and Binder, K., Mol. Phys., 2015, vol. 113, p. 2556.

    Article  ADS  Google Scholar 

  7. Cronin, A.D., Schmiedmayer, J., and Pritchard, D.E., Rev. Mod. Phys., 2009, vol. 81, p. 1051.

    Article  ADS  Google Scholar 

  8. Chuluunbaatar, O., Vinitsky, S.I., Gusev, A.A., Derbov, V.L., and Krassovitskiy, P.M., Bull. Russ. Acad. Sci.: Phys., 2018, vol. 82, p. 654.

    Article  MathSciNet  Google Scholar 

  9. Landau, L.D. and Lifshitz, E.M., Kvantovaya mekhanika (nerelyativistskaya teoriya) (Quantum Mechanics: Non-Relativistic Theory), Moscow: Nauka, 1989.

  10. Fedorenko, R.P., Vvedenie v vychislitel’nuyu fiziku (Introduction to Computational Physics), Lobanov, A.I, Ed., Dolgoprudny: Intellekt, 2008.

  11. Nemets, O.F. and Gofman, Yu.V., Spravochnik po yadernoi fizike (Nuclear Physics Handbook), Kiev: Naukova Dumka, 1975.

  12. Tanihata, I., et al., Phys. Rev. Lett., 1985, vol. 55, p. 2676.

    Article  ADS  Google Scholar 

Download references

ACKNOWLEDGMENTS

This work was supported by the representative of the Republic of Kazakhstan at the Joint Institute for Nuclear Research, grant no. 434 of 2018.

Author information

Authors and Affiliations

  1. Institute of Nuclear Physics, 050032, Almaty, Kazakhstan

    P. M. Krassovitskiy & F. M. Pen’kov

  2. Joint Institute for Nuclear Research, 141980, Dubna, Moscow oblast, Russia

    P. M. Krassovitskiy

Authors
  1. P. M. Krassovitskiy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. M. Pen’kov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. M. Krassovitskiy.

Additional information

Translated by G. Dedkov

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Krassovitskiy, P.M., Pen’kov, F.M. Determination of the Scattering Amplitude in a Limited Area of Calculation. Bull. Russ. Acad. Sci. Phys. 83, 420–423 (2019). https://doi.org/10.3103/S1062873819040166

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873819040166

Search

Navigation