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Use of Causality Conditions in Quantum Theory

Gell-Mann, M. and Goldberger, M. L. and Thirring, W. E. (1954) Use of Causality Conditions in Quantum Theory. Physical Review, 95 (6). pp. 1612-1627. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:20150924-084901059

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Abstract

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.


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http://dx.doi.org/10.1103/PhysRev.95.1612DOIArticle
http://journals.aps.org/pr/abstract/10.1103/PhysRev.95.1612PublisherArticle
Additional Information:© 1954 American Physical Society. Received 24 May 1954. Published 15 September 1954. It is a pleasure to acknowledge several stimulating conversations with Professor E.P. Wigner. We are also indebted to Professor A. Wightman and to members of the Institute for Advanced Study for helpful conversations. One of us (W.T.) is grateful to the Institute for Advanced Study for a grant-in-aid and to Professor Robert Oppenheimer for the hospitality extended him at the Institute.
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Record Number:CaltechAUTHORS:20150924-084901059
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150924-084901059
Official Citation:Use of Causality Conditions in Quantum Theory M. Gell-Mann, M. L. Goldberger, and W. E. Thirring Phys. Rev. 95, 1612 – Published 15 September 1954
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:60470
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:24 Sep 2015 20:33
Last Modified:24 Sep 2015 20:33

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