# Theory of electrons

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Published on December 24, 2012

Author: pefkush

Source: slideshare.net

302" NOTES. 51will be much the same as in the elementary theory of the Zee-man- effect. When we take the upper signs in our formulae we havefrom which it follows that the circular motion represented by (101)has the direction of that of the hands of a clock, if the observer isplaced on the side towards which the lines of force are directed.Therefore in this case the light emitted in the direction of the linesof force has a right-handed circular polarization. Its polarization isleft-handed when we take the under signs. Now, the equation (99) shows that, when & is positive, the fre-quency is greatest for the right-handed, and least for the left-handedcircular polarization, contrary to what we found in the elementarytheory of the Ze em an -effect. The reverse, however, will be thecase, when <? has a negative value. Since the charge e is negative,it follows from (97) and (98) that the signs of & and <u areopposite. The sign of the Zeeman-effect will therefore be that whichwe found in the elementary theory or the reverse according as co ispositive or negative. 51 (Page 126). When the particle has a Velocity of translation V,the forces acting on one of its electrons are Here, denoting by x, y, 0 the coordinates of the electron withrespect to the centre of the particle, and distinguishing by the index 0the values at that point, we may replace H.,,, H ; , H, bySubstituting this in the expressions 2(yZ~0Y), etc.for the components of the resultant couple and usino; the equationsof § 104, we find 7[ v *-0y ^ 3 ~ T\$2y* ~ v,^27*« 4- v, ^£/j, etc,or, since dy ~\$s~ *"* ~ o V*~~fa + v v~gf •*• V. jf) , etc.

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