Erlaubte und verbotene Gebiete bei der Bewegung elektrisch geladener Teilchen in axial-symmetrischen Magnetfeldern
Open Access
- 1 January 1959
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 14 (1) , 37-46
- https://doi.org/10.1515/zna-1959-0109
Abstract
The trajectories of a charged particle in a magnetic field of rotational symmetry can be characterized by their two integrals of motion: the kinetic energy I2 2 and the generalized angular momentum I1. Orbits with different values of I1 and I2 correspond to different points in the I1 — I2-plane. By the aid of this I1 — I2-diagram we easily can get a survey of the allowed and forbidden regions in the meridional plane. In another diagram the boundaries of these regions are transformed into straight lines. Both methods are applied to the field of a magnetic dipole and to that of a circular line-current. By the example of the circular current it is shown how the problem of the so-called particle-loss can be attacked.Keywords
This publication has 0 references indexed in Scilit: