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The infinite multichannel‐scattering process of the two‐particle scattering of mesons of arbitrary isospin off an isospin‐☒ target, inelastic two‐particle channels being admitted, is considered in the static limit. The restrictions on the S matrix arising from crossing under SU (2) and...
A pure group‐theoretical description of nonrelativistic interacting systems in terms of irreducible representations U ( D ) of a so‐called dynamical group D is investigated. The description is assumed to be complete in the sense that all observable quantities of the system can be calculated...
We continue the study of the asymptotic behavior of the scattering amplitude f ( k , θ) at high‐momenta k for fixed (nonforward) scattering angles θ. The considerations here are limited to the class of potentials for which the momentum‐space representations V ( q ) decrease less rapidly...
The Ising chain is represented as a system of fermions interacting through two‐particle forces. All thermodynamic Green's functions are calculated exactly in this model. They exhibit many properties expected on the basis of general theory for Green's functions of the interacting particles.
The original proofs of the TCP theorem suggest that it may breakdown in an odd‐dimensional space‐time. An explicit example of this breakdown is given and a comment is made about the current × current interaction.
By utilizing a branch‐dependent counting technique, exact relationships are developed which describe the ensemble average of the kinetics of occupation by dumbbells of finite one‐dimensional arrays of compartments. It is shown that, as the number of compartments per array tends to infinity,...
A modified admittance is introduced to give Kubo's admittance at nonzero frequencies and to give the isothermal static admittance at zero frequency within the scope of the Kubo linear‐response theory. The method is demonstrated by exact calculations of the frequency‐dependent perpendicular...
A method is shown for calculating the multiplicities occurring in the reduction of a reducible representation of a compact group. The reducible representation is obtained by constructing induced irreducible representations of a noncompact group and then restricting the elements of this...
Inverse functions of products of two Bessel functions j l ( xy ) j m ( xy ) are determined for the cases m = l , l + 1, and l + 2. Integral representations for these inverse functions in terms of Neumann functions are given, and some of the simplest ones are expressed in terms of trigonometric...
The paper presents some solutions of the Einstein‐Maxwell equations corresponding to a superposed electric and magnetic field at right angles to each other. The solutions are stationary and include the case of null field also. There are, however, some singularities in the metric tensor.
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