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It is shown that solutions of the exact reduced generalized Liouville‐like equation, determining Petrov‐type III gravitational fields within the Robinson–Trautman family of metrics, possess movable critical points, that is, they do not exhibit the Painlevé property.
A simple derivation is presented of the equations for the variation of the parallel propagator and the holonomy operators of Yang–Mills (YM) connections caused by variations of both the connection and the path. The derivation does not make any direct use of functional derivatives and is based...
An important example of characters on two‐summable Fredholm modules are Schwinger terms arising in the commutators between charge and axial‐charge operators. 1+1‐dimensional massive fermions are discussed using the language of quasifree second quantization and for a large class of models...
A representation formula in terms of generalized Lucas polynomials of the second kind see formula (4.3), for the sum rules J s ( i ) introduced by Case J. Math. Phys. 21 , 702 (1980) and studied by Dehesa et al . J. Math. Phys. 26 , 1547 (1985); 26 , 2729 (1985) in order to obtain information...
The various definitions of kinking number that have been used are examined and compared, and a general definition is proposed. A generalization of Hopf’s index theorem is given.
The hydrodynamic mixing of shell material into the fuel region of an inertial confinement fusion (ICF) target during compression will suppress the thermonuclear yield due to the loss of charged fusion reaction products to the entrained shell material. Adopting a binary Markovian model for this...
The second post‐Coulombian Lagrangian of Wheeler–Feynman electrodynamics for a many‐particle system is treated according to a canonical formalism of a singular Lagrangian with higher derivatives. The canonical equations are given in terms of a reduced Hamiltonian with Dirac brackets, but...
The fiber bundles and global rotations arising in the Kustaanheimo–Stiefel and Hurwitz transformations are studied. Generalized Cayley–Klein parameterization is introduced in a functional form and is used for the analysis of fibration in Hurwitz transformations. Essential differences in...
In this article the long‐time behavior of the evolution of one species of charged particles in a neutral gas under the influence of an acceleration field is studied. After a short review of the literature on runaway phenomenon, the mathematical definitions of drift velocity and runaway...
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