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Phys. Rev. 95, 1612–1627 (1954)

Use of Causality Conditions in Quantum Theory

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M. Gell-Mann
Institute of Nuclear Studies and Department of Physics, University of Chicago, Chicago, Illinois

M. L. Goldberger*
Princeton University, Princeton, New Jersey

W. E. Thirring†
Institute for Advanced Study, Princeton, New Jersey

Received 24 May 1954; published in the issue dated September 1954

The limitations on scattering amplitudes imposed by causality requirements are deduced from the demand that the commutator of field operators vanish if the operators are taken at points with space-like separations. The problems of the scattering of spin-zero particles by a force center and the scattering of photons by a quantized matter field are discussed. The causality requirements lead in a natural way to the well-known dispersion relation of Kramers and Kronig. A new sum rule for the nuclear photoeffect is derived and the scattering of photons by nucleons is discussed.

© 1954 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRev.95.1612
DOI:
10.1103/PhysRev.95.1612
PACS:

*On leave of absence from the University of Chicago, Chicago, Illinois.

†Present address, Physikalisches Institute, Universitat Bern, Bern, Switzerland.

 
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