7,972 research outputs found
Negative Specific Heat of a Magnetically Self-Confined Plasma Torus
It is shown that the thermodynamic maximum entropy principle predicts
negative specific heat for a stationary magnetically self-confined
current-carrying plasma torus. Implications for the magnetic self-confinement
of fusion plasma are considered.Comment: 10p., LaTeX, 2 eps figure file
Electromagnetic Field Theory without Divergence Problems 2. A Least Invasively Quantized Theory
The classical Maxwell--Born--Infeld field equations coupled with a
Hamilton--Jacobi law of point charge motion are partially quantized by coupling
the Hamilton-Jacobi phase function with an amplitude function, which combines
with the phase function into a single complex wave function satisfying a
relativistic Klein--Gordon equation self-consistently coupled to the evolution
equations for the electromagnetic fields with generic point source (explicitly
worked out for one particle; options for many particles briefly discussed).
Radiation-free stationary states exist. The hydrogen spectrum with infinitely
massive nucleus is discussed in some detail and upper estimates for Born's
`aether constant' obtained. In the nonrelativistic limit the model reduces to
the de-Broglie--Bohm formulation of quantum mechanics.Comment: Corrections at galley stage incorporated (mostly minor corrections,
except for a blunder in the estimate of the error term U to the Coulomb
interaction) 38p; to appear in JSP vol. 116, issue dedicated to Elliott H.
Lieb on his 70th birthday. Part I is math-ph/030607
Electromagnetic field theory without divergence problems: 1. The Born Legacy
A fully consistent classical relativistic electrodynamics with spinless point
charges is constructed. The classical evolution of the electromagnetic fields
is governed by the nonlinear Maxwell--Born--Infeld field equations, the
classical evolution of the point charges by a many-body Hamilton--Jacobi law of
motion. The Pauli principle for bosons can be incorporated in the classical
Hamilton--Jacobi formalism. The Cauchy problem is explained and illustrated
with examples. The question of charge-free field solitons is addressed also and
it is shown that if they exist, their peak field strengths must be enormous.
The value The value of Born's constant is shown to be a subtle open issue.Comment: Minor corrections at galley stage incorporated. 66p; to appear in JSP
vol. 116, issue dedicated to Elliott H. Lieb on his 70th birthday. Part II is
math-ph/031103
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