A charge distribution with axial symmetry is allowed to rotate with constant angular velocity around the axis of symmetry. The magnetic field of the resultant current density is calculated in terms of the electrostatic field of the charge distribution. The relation is of greatest utility in the calculation of the magnetic field of a rotating spherically symmetric charge distribution in terms of its electrostatic potential.
Computer-generated holograms have been produced on the plotter of an HP 9100B desk-top calculator. The use of simple stick objects allows us to calculate analytically the Fourier transform, the amplitude and relative phase of which are represented on the plot. Techniques for efficiency enhancement and saturation reduction are discussed.
The formal structure of the Weiss molecular-field approximation is analyzed and used to construct a formally exact treatment of the partition function which generalizes the notion of molecular field to include many-particle interactions and which yields exact moments by solution of generalized molecular field equations. Approximations yield a sequence of molecular fields used to construct a sequence of approximations to the moments. Calculations to second order are made to several spin systems, and applications to systems of fermions and to classical statistical mechanics are indicated.
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