Abstract
Phase shifts and probability densities at the origin for a nonrelativistic particle in a Yukawa potential are calculated by means of arbitrary-order phase-integral formulas, obtained from a comparison equation treatment. Numerical calculations show that the formulas are very accurate even for the lowest partial waves, provided that the energy is sufficiently high.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Fröman, N. and Fröman, P.O., JWKB Approximation, Contributions to the Theory, North-Holland, Amsterdam, 1965. Russian translation: MIR, Moscow, 1967.
Fröman, N., Ark. Fys. 32 (1966), 541–548.
Fröman, N., Ann. Phys. (N.Y.) 61 (1970), 451–464.
Fröman, N. and Fröman, P.O., Ann. Phys. (N.Y.) 83 (1974), 103–107.
Fröman, N. and Fröman, P.O., Phase-integral approximation of arbitrary order generated from an unspecified base function. Review article in: Forty More Years of Ramifications: Spectral Asymptotics and Its Applications,edited by S.A. Fulling and F.J. Narcowich, Discourses in Mathematics and Its Applications, No. 1, Department of Mathematics, Texas A & M University, College Station, Texas, 1991, pp. 121–159. After minor changes reprinted as Chapter 1 in the present monograph.
Fröman, N., Fröman, P.O., and Linnnaeus, S., Phase-integral formula for the regular wave function when there are turning points close to a pole of the potential. This is Chapter 6 in the present monograph.
Fröman, N., Fröman, P.O., Walles, E., and Linnaeus, S., Phase-integral formulas for the normalized wave function of the radial Schrödinger equation close to the origin. This is Chapter 7 in the present monograph.
Abramowitz, M. and Stegun, I.A., Editors, Handbook of Mathematical Functions, National Bureau of Standards, Applied Mathematics Series, 55. Seventh printing, May 1968, with corrections.
Rights and permissions
Copyright information
© 1996 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Linnaeus, S. (1996). High-Energy Scattering from a Yukawa Potential. In: Phase-Integral Method. Springer Tracts in Natural Philosophy, vol 40. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2342-9_10
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2342-9_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7511-4
Online ISBN: 978-1-4612-2342-9
eBook Packages: Springer Book Archive