Gerald E. Marsh

Phys. Rev. A Vol. 45, p. 7520 (1992) (PDF)

The force-free magnetic field condition is expressed in terms of a flux function; alpha is then also a function of the flux function, and with suitable restrictions the resulting equations can be separated and solved. The case of spherical coordinates yields four sets of solutions which are shown to be dependent and equivalent to a simple generalization of those given by Chandrasekhar [Proc. Natl. Acad Sci. USA Vol. 42, 1 (1956)]. Similarly, the case of cylindrical coordinates results in a generalization of the solution given by Furth, et al. [Rev. Sci. Instrum. Vol. 28, 949 (1957)].

The utility of differential forms for understanding the origin of the self-dual gauge-field equations is illustrated by deriving the systems of linear partial differential equations introduced by Belavin and Zakharov and used in a different form by Ueno and Nakamura. The integrability condition for these systems of equations is then used to show their relation to a generalized form of the Ernst equation.

Physics Essays 3, 406-413 (1990)

Self-Dual Gauge Field Eqs

J. Appl. Phys. Vol. 68, p. 3818 (1990) (PDF)

The general approach to cylindrically symmetric force-free magnetic fields first introduced by Lust and Schluter [Z. Astrophys. Vol. 34, 263 (1954)], is restricted to cylindrically symmetric fields, and subsequently used to determine a set of solutions to the force-free field equations with non-constant alpha. The first element of the set is the well known constant a solution of Lundquist [Ark. Fys. Vol. 2, 361 (1951)]. These solutions may have practical applications with respect to high-temperature superconductors.

Reviews of Scientific Instruments, Vol 48, p. 841 (1977)

The accelerator, magnetic shielding-equipotential grading system, and voltage divider chain of the University of Chicago 1-MV STEM are described. A dynamical analysis of the system is presented in addition to a discussion of the problem of “electron loading” encountered while conditioning the accelerator tube.

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American Journal of Physics, Vol. 43, p. 266 (1975)
Coauthor: Charles Nissim-Sabat

We show that no argument that attempts to infer space-time curvature solely from the gravitational red shift can be valid.

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Journal of Applied Physics, Vol. 46, p. 3178 (1975)

The problem of obtaining a uniform magnetic field within a nondegenerate ellipsoid by the use of an appropriate surface current distribution is solved.

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The tetrad formulation of general relativity allows a non-tensorial decomposition of the gravitational field into two components which have been thought to represent the permanent and inertial parts. It is shown here that this division does not hold for arbitrary motions in a flat space-time, and therefore cannot be expected to hold in more general spaces.

Aust. J. Phys. 27, 131 (1974)

Tetrads & Grav-Inertial Field

Shows that the special theory of relativity may be applied to the problem of the rotating disk if one includes the Thomas precession.

Nature Physical Science 230, 197 (1971)

Rotating Disk