摘要:

Electron motion is studied in a two‐dimensional electric field of potentialV=A+B(x2−y2)/2 and a uniform magnetic fieldH=(0,0, −H) normal to the electric field, whereA, B, −Hare constants. The equipotential lines of the electric field in any planez=const. consist of rectangular hyperbolas with a point of zero field strength atx=0,y=0. The differential equations of motion are integrated, and expressions are given for the electron paths. For this type of field, the electron motion consists of superposition of elliptic and hyperbolic motions, that is, of a simple harmonic motion along an ellipse whose center moves along a hyperbola. The latter hyperbolas intersect the equipotential hyperbolas, so that, unlike the uniform crossed field case, the electron may drift into regions of higher or lower potential.

ISSN:0021-8979    

DOI:10.1063/1.1702332

出版商:AIP    

年代:1952

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1702334

出版商:AIP    

年代:1952

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1702335

出版商:AIP    

年代:1952

数据来源: AIP