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.
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References
A. C. Williams:Int. J. Theor. Phys.,22, 219 (1983).
C. L. Crithfield:Am. J. Phys.,32, 542 (1964).
H. J. Korsh andR. Mohlenkamp:Phys. Lett. A,67, 110 (1978).
E. Durand:Mecanique Quantique, vol.1 (Masson et Cie, Paris, 1978), chapt. 6;H. Horiuchi:Progr. Theor. Phys.,64, 184 (1980).
D. Bohm:Quantum Theory (Prentice Hall, Englewood Cliffs, WJ, 1951), chapt. 12.
See, for example,H. Goldstein:Classical Mechanics (Addison-Wesley, Publishing Company Inc., 1980), chapt. 9.
L. D. Landau andE. M. Lifshitz:Quantum Mechanics (Pergamon Press, London, 1958), chapt. 14.
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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
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DOI: https://doi.org/10.1007/BF02828980