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Capra, Fritjof – American Journal of Physics, 1979
Reviews the developments in S-matrix theory over the past five years which have made it possible to derive results characteristic of quark models without any need to postulate the existence of physical quarks. In the new approach, the quark patterns emerge as a consequence of combining the general S-matrix principles with the concept of order.…
Descriptors: Mathematics, Models, Nuclear Physics, Physics
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Greenberger, Daniel M. – American Journal of Physics, 1979
The extended Galilean transformation carries an inertial frame into a rigid frame with uniform spatial, but arbitrary translational acceleration. Besides being useful in discussing the equivalence principle, this transformation provides a physical interpretation for the theorem in nonrelativistic quantum mechanics, that we cannot coherently…
Descriptors: Mathematics, Models, Physics, Quantum Mechanics
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Mukunda, N. – American Journal of Physics, 1979
Shows how to extend Wigner distribution functions, and Weyl correspondence between quantum and classical variables, from the usual kind of canonically conjugate position and momentum operators to the case of an angle and angular momentum operator pair. (Author/GA)
Descriptors: College Science, Higher Education, Mathematics, Mechanics (Physics)
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Turner, J. E. – American Journal of Physics, 1979
This paper presents a derivation of the number given by Fermi in 1925, in his semiclassical treatment of the motion of an electron in the field of two stationary positive charges, for Bohr quantization of the electron orbits when the stationary charges are positive, and applies it to an electron moving in the field of a stationary dipole.…
Descriptors: Atomic Structure, Electricity, Mathematics, Motion
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Bergia, S.; And Others – American Journal of Physics, 1979
Shows that von Neumann's mathematical theorem on composite systems acquires a transparent physical meaning with reference to a suitable physical example; a composite system in a state of definite angular momentum. Gives an outline of the theorem, and the results are restated in Dirac's notation, thus generalizing von Neumann's results which were…
Descriptors: College Science, Higher Education, Instructional Materials, Mathematics