Abstract
Scattering of a particle by a potential is a simple physical picture but rich enough to introduce such basic concepts of scattering theory as Möller wave operators, in- and outgoing particle flux, unitarity, S-, T- and K-matrices, Lippmann-Schwinger equations, S-matrix pole trajectories, criteria for convergence or divergence of Neumann series, etc. Therefore the first chapter is basic and following ones use the language developed here, while enriching and extending it according to the increase of possible physical processes for two and more particles.
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
N. G. de Bruijn: Asymptotic Methods in Analysis ( North-Holland, Amsterdam 1961 )
C. Möller: K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 23, (1) (1945)
J. M. Cook, J. Math. Phys. Cambridge Mass. 36, 82 (1957)
M. N. Hack: Nuovo Cimento 9, 731 (1958)
M. N. Hack: Nuovo Cimento 9, 731 (1958); J. Kupsch, W. : Commun. Math. Phys. 2, 147 (1966)
M. Gell-Mann, M. L. Goldberger: Phys. Rev. 91, 398 (1953)
R. G. Newton: Scattering Theory of Waves and Particles ( McGraw Hill, New York 1966 )
B. A. Lippmann, J. Schwinger: Phys. Rev. 79, 469 (1950)
G. Braun: Acta Phys. Austriaca 10, 8 (1956)
A. Messiah: Quantum Mechanics ( North-Holland, Amsterdam 1961 )
J. S. Levinger: Springer Tracts Mod. Phys. 71, 88 (1974)
R. V. Reid: Ann. Phys. 50, 411 (1968)
A. Bohr, B. R. Mottelson: Nuclear Structure, Vol. I ( Benjamin, New York 1969 )
R. Jost, A. Pais: Phys. Rev. 82, 840 (1951)
S. Weinberg: Phys. Rev. 131, 440 (1963)
F. Smithies: Integral Equations ( Cambridge University Press, New York 1958 )
M. Scadron, S. Weinberg, J. Wright: Phys. Rev. 135, B202 (1964)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Glöckle, W. (1983). Elements of Potential Scattering Theory. In: The Quantum Mechanical Few-Body Problem. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82081-6_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-82081-6_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82083-0
Online ISBN: 978-3-642-82081-6
eBook Packages: Springer Book Archive