scholarly journals Erratum: Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity [Phys. Rev. Accel. Beams 23 , 104001 (2020)]

Author(s):  
E. Laface ◽  
B. T. Folsom
1985 ◽  
Vol 40 (10) ◽  
pp. 959-967
Author(s):  
A. Salat

The equivalence of magnetic field line equations to a one-dimensional time-dependent Hamiltonian system is used to construct magnetic fields with arbitrary toroidal magnetic surfaces I = const. For this purpose Hamiltonians H which together with their invariants satisfy periodicity constraints have to be known. The choice of H fixes the rotational transform η(I). Arbitrary axisymmetric fields, and nonaxisymmetric fields with constant η(I) are considered in detail.Configurations with coinciding magnetic and current density surfaces are obtained. The approach used is not well suited, however, to satisfying the additional MHD equilibrium condition of constant pressure on magnetic surfaces.


2010 ◽  
Vol 248 (2) ◽  
pp. 393-398 ◽  
Author(s):  
Carsten Olbrich ◽  
Jörg Liebers ◽  
Ulrich Kleinekathöfer

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