Abstract
Let us consider the relation of the state vector Ψ (+)(α, t) to an experimentally measured counting rate. We first take the case of a particle of mass m in interaction with a center.
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Notes and References
For relevant discussions in the literature, see C. Moller (1945); Jauch and Rohrlich (1950); Lippmann and Schwinger (1950); Gell-Mann and Goldberger (1953); Brenig and Haag (1959); S. S. Schweber (1961). The arguments of this section largely follow Newton and Shtokhamer (1974), where they are also generalized to N particles. For scattering from many centers, see also Agassi and Gal (1973a); S. Ström (1976).
For a discussion of phase-space integrals, see A. Krzywicki (1965).
The primary reference, on which all others are based, is C. Moller (1945).
For a general review of relativistic particle kinematics, see R. Hagedorn (1963).
The density matrix was conceived by J. von Neumann (1927).
For an extensive review and many references, see U. Fano (1957); R. McWeeny (1960); D. ter Haar (1961).
For discussions of coherence in quantum mechanics, especially with regard to laser beams, see R. J. Glauber (1963, 1965, and 1966); Mandel and Wolf (1963); E. C. G. Sudarshan (1963); Titulaer and Glauber (1965 and 1966).
For discussions of spin and polarization of electrons, see M. E. Rose (1961) and, in more detail, H. A. Tolhoek (1956). A more general treatment, applicable to other values of the spins, is W. H. McMaster (1961). Methods by which the spin density matrix of a beam of particles of arbitrary spin can be determined from measurements are discussed by Newton and Young (1968).
A covariant polarization matrix for spin 1 has been discussed by D. Zwanziger (1964). See also C. B. van Wyck (1958).
The density matrix of scattered particles is discussed by R. G. Newton (1979b). For a somewhat different kind of analysis of collision experiments and their information content see Alhassid and Levine (1978); Levine and Alhassid (1979).
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© 1982 Springer Science+Business Media New York
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Newton, R.G. (1982). Cross Sections. In: Scattering Theory of Waves and Particles. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88128-2_8
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DOI: https://doi.org/10.1007/978-3-642-88128-2_8
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