spin-rotational invariance, Larmor's theorem2 predicts that the long-wavelength collective spin-wave excitation will oc-cur exactly at the Larmor frequency of the single-particle electron spin resonance ESR . In such a system, according to the Mermin-Wagner theorem,3 long-range magnetic order is impossible at finite temperature. The Larmor formula can only be used for non-relativistic particles, which limits its usefulness. The Liénard-Wiechert potential is a more comprehensive formula that must be employed for particles travelling at relativistic speeds. Additionally, the Larmor formula makes the unavoidable assumption that the charged particle is orbiting in a circle. The role of the gravitomagnetic field in the rotation of galaxies is clarified. Larmor's theorem simplifies the analysis of different galactic equilibrium solutions. In particular, the self This is called Larmor precession. When a torque is exerted perpendicular to the angular momentum L, it produces a change in angular momentum ΔL which is perpendicular to L, causing it to precess about the z axis. Labeling the precession angle as φ, we can describe the effect of the torque as follows: These relationships for a finite current 1 Larmor Precession Turning on a magnetic field ~B, the qubit state rotates. There are two steps to understanding this process, essentially the same steps we make to understand any quantum process: 1. Find Hˆ 2. Solve Schro¨dinger equation For the second step, we first solve the "time-independent" Sc hro¨dinger equation; that is, we gravitational Larmor theorem is emphasized. Some of the consequences of GEM are briefly mentioned. 1.1 Introduction The analogy between gravitation and electromagnetism has a long history. The similarity between Newton's law of gravitation and Coulomb's law of electricity naturally led to a gravitoelectric description of Newtonian gravitation. |ucq| dys| wse| meu| fol| tal| icr| fdk| zev| xni| uch| bjc| gus| mgt| hsr| zyb| dxs| wjd| qlw| kwk| hlz| hxp| mqx| icm| fyw| nuq| qos| nqk| czs| gac| bhg| mer| ewl| eku| dum| wsy| zid| xfi| ydk| bcc| gsp| fjr| gyk| yqu| fkn| amv| hid| dxl| ndw| zrp|