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Author Shirokov, Yu. M.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ CONFIGURATION ♦ DIFFERENTIAL EQUATIONS ♦ HAMILTONIAN ♦ INTEGRALS ♦ INTERACTIONS ♦ INVARIANCE PRINCIPLE ♦ MATHEMATICS ♦ MATRICES ♦ MOMENTUM ♦ MOTION ♦ PARTICLES ♦ QUANTUM MECHANICS ♦ REFLECTION ♦ RELATIVITY THEORY ♦ S-MATRIX ♦ SCATTERING
Abstract General conditions of microcovariance reflecting the pseudo-euclidean properties of space-time at any distance, however small, are obtained for the relativistic quantum theory. The microcausality conditions suitable for particles with internal structure are formulated. Only general quantal principles and geometrical space-time properties are used in deriving these conditions. A new class of physical quantities named dynamical momenta is introduced. It is shown that dynamical momenta are the most convenient quantities for describing relativistic processes since they ensure a complete description, exist at each moment of time, and are asymptotic integrals of motion, i.e., tend to definite limits for infinite time. The dynamical momenta are used to establish the connection of the quantities for which the microcovariance and microcausality conditions are written with the elements of the S-matrix. It is essential that no postulates of quantum field theory are used. It is also shown that the existence of the hamiltonian description follows from the existence of the S-matrix and pseudo-euclidean space-time. The relations obtained open possibilities for deriving new connections between the elements of the S-matrix for different processes as well as formulating the problem of experimental investigation of the limits of applicability for the current conception of space-time structure. (auth)
ISSN 00295582
Educational Use Research
Learning Resource Type Article
Publisher Date 1963-09-01
Publisher Department Moscow State Univ.
Journal Nuclear Physics
Volume Number 46
Organization Moscow State Univ.


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