163 citations · 697 across the 23 of their papers we have counts for
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The Pauli Exclusion Operator: example of Hooke's atom
Tomasz M. Rusin, Wlodek Zawadzki
The Pauli Exclusion Operator (PEO) which ensures proper symmetry of the eigenstates of multi-electron systems with respect to exchange of each pair of electrons is introduced. Once…
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…
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…
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…
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…
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…
Trembling motion of relativistic electrons in a magnetic field
Tomasz. M. Rusin, Wlodek Zawadzki
Zitterbewegung (ZB, the trembling motion) of free relativistic electrons in a vacuum in the presence of an external magnetic field is calculated. It is shown that the motion of an…