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A class of solutions describing a wide variety of nonstatic, spherically symmetric, charged, shear‐free perfect fluid configurations is derived. It is presented in the form of Jacobian elliptic functions characterized by seven free parameters: five constants and two arbitrary functions of time....
Two‐cluster–two‐cluster scattering amplitudes for N ‐body quantum systems are studied. Our attention is restricted to energies below the lowest three‐cluster threshold. For potentials falling off like r −1−δ it is proved that in this energy range these amplitudes exist, are...
Some identities involving two‐dimensional lattice sums of a class of integrals are derived. A simple application to theta functions is given.
A criterion to enlarge infinite‐dimensional Lie algebras to analytic Lie groups is used here for the extension of graded Lie algebras of physical interest to super‐Lie groups.
In this paper branching rules for the reduction sp(2 N ) ☒ sp(2 N −2)×sp(2) are found, and a new pattern for labeling vectors belonging to the base for unitary irreducible representations BUIR’s is found.
The factorization of the wave equation into a coupled system involving up‐and down‐going wave components is obtained for the case where the field quantities are multivariate functions of spatial variables, but the velocity c is a function of the z variable only. The form of the reflection...
It is shown that although no Riccati equations in the strict sense are likely to exist for the self‐dual Yang–Mills fields, certain ‘‘generalized Riccati equations’’ derivable from the Bäcklund transformation do exist, and are capable of reproducing the linear system when a certain...
It is shown that the representation of the E(2)‐like little group for photons can be reduced to the coordinate transformation matrix of the cylindrical group, which describes movement of a point on a cylindrical surface. The cylindrical group is isomorphic to the two‐dimensional Euclidean...
Expressions are found for homogeneous and inhomogeneous propagators for vector fields of arbitrary mass in anti‐de Sitter space‐time using a generalization of Stueckelberg’s Lagrangian for a massive vector field. The massless case (quantum electrodynamics) is also considered by taking the...
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