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Axially symmetric gauge field configurations of a certain type are studied in generalized Yang–Mills theory in 4 p dimensions ( p =2,3,...). For all p , finite action solutions of the generalized self‐duality equations with topological charge n =1,2,... are found. It is also shown that the...
The q ‐Poincaré group of M. Schlieker et al . Z. Phys. C 53 , 79 (1992) is shown to have the structure of a semidirect product and coproduct B × SO q (1,3) where B is a braided‐quantum group structure on the q ‐Minkowski space of four‐momentum with braided‐coproduct Δ p = p ⊗1+1⊗...
A new approach to multicenter spherical harmonic expansions is presented, which is based on Fourier transform and variational methods. The individual radial functions are optimized simultaneously over all sites at each order of spherical harmonics; and it is conjectured that the resulting...
The eigenvalue correlations of the generalized Gaussian and Laguerre random matrix ensembles are calculated exactly. The fluctuations are shown to be nonuniversal in certain intervals of the spectrum. A physical example from quantum transport where such nonuniversal effects occur is discussed.
This paper examines the dynamics and kinematics of reciprocal diffusions. Reciprocal processes were introduced by Bernstein in 1932, and were later studied in detail by Jamison. The reciprocal diffusions are constructed here by specifying their finite joint densities in terms of the Green’s...
The localization behavior of one‐dimensional quantum systems for ℏ→0 is investigated by semiclassical methods. In particular the localization of the quantum probability around turning points of arbitrary even order associated to classical hyperbolic orbits is considered and a relation of...
We give a new proof of a theorem locally classifying classical dynamical systems with constraints, and discuss possible applications of the result to quantization of such systems, in particular of General Relativity.
The suggested impossibility of a consistent local extension of the quantum formalism is reviewed in the context of the Einstein–Podolsky–Rosen–Bohm (EPRB) ideal experiment. A consistent local theory Th ( G ) extending the quantum formalism is proposed. The postulates of Th ( G ) stipulate a...
The quantum‐mechanical virial theorem is applied to the two‐body Dirac equation. It can be used as a powerful test for solutions of this equation. A direct application of the theorem is also given.
A systematic method of finding nontrivial generalized variational symmetries are presented herein and the corresponding first integrals for nonlinear dynamical system with two degrees of freedom are derived. Then, a method is applied to a Toda lattice, given by the potential V = e x − y + c 1 e...
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