Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-28T14:51:27.833Z Has data issue: false hasContentIssue false
  • English
  • Français

Centre-of-mass state vectors

Published online by Cambridge University Press:  24 October 2008

J. Hamilton
J. Hamilton
Affiliation:
Christ's CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

The properties of centre-of-mass systems at high energies are discussed, and the single time form of field theory is used to set up state vectors that describe the simpler centre-of-mass states of fields. These states, which are labelled by the eigenvalues of total angular momentum, are expanded in terms of the spherical harmonic resolution of the fields about a fixed point. A discussion of the application of the method to pion-nucleon scattering is given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 1 , January 1956 , pp. 97 - 106
Copyright
Copyright © Cambridge Philosophical Society 1956

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Bethe, H. A.Handbuch der Physik, XXIV/1 (Berlin, 1933).Google Scholar
(2)Biedenharn, L. C., Blatt, J. M. and Rose, M. E.Rev. mod. Phys. 24 (1952), 249.CrossRefGoogle Scholar
(3)Blatt, J. M. and Weisskopf, V. F.Theoretical nuclear physics (New York, 1952).Google Scholar
(4)Fabri, E.Nuovo Cim. (9), 11 (1954), 479.CrossRefGoogle Scholar
(5)Gell-Mann, M. and Watson, K. M.Annual review of nuclear science, vol. 4 (Stanford, Cal., 1954).Google Scholar
(6)Hamilton, J.Proc. phys. Soc. Lond. 59 (1947), 917.CrossRefGoogle Scholar
(7)Mott, N. F. and Sneddon, I. N.Wave mechanics (Oxford, 1948).Google Scholar
(8)Racah, G.Group theory and spectroscopy (mimeographed notes, Institute for Advanced Study, Princeton, 1951).Google Scholar
(9)Sachs, R. G.Phys. Rev. (2), 87 (1952), 1100.CrossRefGoogle Scholar
(10)Van der Waerden, B. L.Gruppentheoretische Methode in der Quantenmechanik (Ann Arbor, Mich., 1944).Google Scholar
(11)Watson, G. N.Theory of Bessel functions (Cambridge, 1922).Google Scholar
(12)Wigner, E. P.Anwendungen der Gruppentheorie (Vieweg, 1931).Google Scholar