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Zitterbewegung (z niemieckiego, oznacza „ruch drżący” [1]) – efekt pojawiający się w analizie rozwiązań równania Diraca, polegający na szybkiej oscylacji położenia cząstki wokół klasycznej trajektorii. Jeżeli skonstruować paczkę falową spełniającą równanie Diraca i zawierającą zarówno fale o dodatniej, jak i ...
In physics, the zitterbewegung (German pronunciation: [ˈtsɪtɐ.bəˌveːɡʊŋ], from German zittern 'to tremble, jitter', and Bewegung 'motion') is the theoretical prediction of a rapid oscillatory motion of elementary particles that obey relativistic wave equations.
The German word zitterbewegung -zitter- means “trembling along the way” and it was coined for the first time by Erwin Schrödinger in 1930 when studying the solutions of Dirac equations for free relativistic electrons.
7 lis 2019 · Zitterbewegung is an artifact of mistaking the parameter $\bfx$ as a position observable. Relativistic QFT doesn't have a strict position observable. In relatistic QFT, particle-detection observables can't be both perfectly noise-free and perfectly sharply localized in a finite region of spacetime.
26 kwi 2017 · 1 Answer. Sorted by: 17. The Darwin term can be obtained from the low energy approximation ( |p|2/m2 << 1 | p | 2 / m 2 << 1) of the Dirac equation of the electron in a central field. An elegant way to perform this task is by means of the Foldy-Wouthuysen Transformation.
10 maj 2023 · Zitterbewegung is a theoretical quantum mechanical phenomenon that describes the rapid oscillatory motion of particles such as electrons. Originating from the solutions of the Dirac equation, Zitterbewegung is characterized by high-frequency oscillations with an amplitude on the order of the reduced Compton wavelength.
To illustrate this we study the trembling motion of the centre of mass for an effective two-level system, historically called Zitterbewegung. Its origin is described in detail, where in particular the role of the finite width of the atomic wave packets is seen to induce a damping of both the centre of mass dynamics and the dynamics of the ...
