Skip to main content
Log in

Application of 3D WKB to scattering problems

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

In this work we present an extension of the 3D WKB approximation to include terms of orderh 2. This method can be easily implemented for scattering problems. We give a general prescription to calculate the crosssection up to the second order inh. As an illustration of the technique we calculate the cross-section for the Coulomb and the α/r2 potentials.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. C. Williams:Int. J. Theor. Phys.,22, 219 (1983).

    Article  MATH  Google Scholar 

  2. C. L. Crithfield:Am. J. Phys.,32, 542 (1964).

    Article  ADS  Google Scholar 

  3. H. J. Korsh andR. Mohlenkamp:Phys. Lett. A,67, 110 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  4. E. Durand:Mecanique Quantique, vol.1 (Masson et Cie, Paris, 1978), chapt. 6;H. Horiuchi:Progr. Theor. Phys.,64, 184 (1980).

    Google Scholar 

  5. D. Bohm:Quantum Theory (Prentice Hall, Englewood Cliffs, WJ, 1951), chapt. 12.

    Google Scholar 

  6. See, for example,H. Goldstein:Classical Mechanics (Addison-Wesley, Publishing Company Inc., 1980), chapt. 9.

  7. L. D. Landau andE. M. Lifshitz:Quantum Mechanics (Pergamon Press, London, 1958), chapt. 14.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors of this paper have agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buendia, G.M., Percoco, U. & Trías, A. Application of 3D WKB to scattering problems. Nuov Cim B 105, 1277–1287 (1990). https://doi.org/10.1007/BF02828980

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02828980

PACS

PACS

Navigation