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20102026
most citedZitterbewegung (trembling motion) of electrons in semiconductors: a Review

120 citations

Showing quant-phShow all

5 papers · 1 filter

quant-ph2016

Transformation of bound states of relativistic hydrogen-l ike atom into two-component form

Tomasz M. Rusin

A single-step Eriksen transformation of~,~ and~ states of the relativistic hydrogen-like atom is performed exactly by expressing each transformed func…

quant-ph2012★ 4 cited

Zitterbewegung of Klein-Gordon particles and its simulation by classical systems

Tomasz M. Rusin, Wlodek Zawadzki

The Klein-Gordon equation is used to calculate the Zitterbewegung (ZB, trembling motion) of spin-zero particles in absence of fields and in the presence of an external magnetic fie…

quant-ph2011★ 1 cited

Non-locality of energy separating transformations for Dirac electrons in a magnetic field

Tomasz M. Rusin, Wlodek Zawadzki

We investigate a non-locality of Moss-Okninski transformation (MOT) used to separate positive and negative energy states in the 3+1 Dirac equation for relativistic electrons in the…

quant-ph2011★ 6 cited

Non-locality of Foldy-Wouthuysen and related transformations for the Dirac equation

Tomasz M. Rusin, Wlodek Zawadzki

Non-localities of Foldy-Wouthuysen and related transformations, which are used to separate positive and negative energy states in the Dirac equation, are investigated. Second momen…

quant-ph2010★ 35 cited

Zitterbewegung of relativistic electrons in a magnetic field and its simulation by trapped ions

Tomasz M. Rusin, Wlodek Zawadzki

One-electron 3+1 and 2+1 Dirac equations are used to calculate the motion of a relativistic electron in a vacuum in the presence of an external magnetic field. First, calculations…