As we have seen in the introduction, the tools of scattering theory—phase shifts, bound states, and the Born approximation—are central to our calculational techniques. In this chapter, we develop these tools and derive the key results we will need. We focus particularly on the use of the analytic structure of the scattering data to efficiently compute the Green and Jost functions.
This is a preview of subscription content, log in via an institution to check access.
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
K. Chadan and P. C. Sabatier, Inverse Problems in Quantum Scattering Theory. Springer, New York, 1977.
R. G. Newton, Scattering Theory of Waves and Particles. Springer, New York, 1982.
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. National Bureau of Standards, 1964.
R. G. Newton, Chapter 12.1. In Scattering Theory of Waves and Particles. Springer, New York, 1982.
R. D. Puff, Phys. Rev. A11 (1975) 154.
N. Graham, R. L. Jaffe, M. Quandt, and H. Weigel, Annals Phys. 293 (2001) 240.
G. Barton, J. Phys. A18 (1985) 479.
N. Graham, R. L. Jaffe, M. Quandt, and H. Weigel, Phys. Rev. Lett. 87 (2001) 131601.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Graham, N., Quandt, M., Weigel, H. (2009). Review of Scattering Theory. In: Spectral Methods in Quantum Field Theory. Lecture Notes in Physics, vol 777. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00139-0_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-00139-0_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00138-3
Online ISBN: 978-3-642-00139-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)