422 citations · 781 across the 31 of their papers we have counts for
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Production of twisted particles in magnetic fields
Liping Zou, Pengming Zhang, Alexander J. Silenko
The use of a (quasi)uniform magnetic field opens new possibilities for a production of twisted particles having orbital angular momenta. Quantum states suitable for a production of…
General quantum-mechanical solution for twisted electrons in a uniform magnetic field
Liping Zou, Pengming Zhang, Alexander J. Silenko
A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The obtained general quantum-mechanical solution of the relativistic paraxia…
Position and spin in relativistic quantum mechanics
Liping Zou, Pengming Zhang, Alexander J. Silenko
The problem of the position and spin in relativistic quantum mechanics is analyzed in detail. It is definitively shown that the position and spin operators in the Foldy-Wouthuysen…
Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field
Liping Zou, Pengming Zhang, Alexander J. Silenko
A connection between relativistic quantum mechanics in the Foldy-Wouthuysen representation and the paraxial equations is established for a Dirac particle in external fields. The pa…
The physics of helical electron beam in a uniform magnetic field as a testing ground of gauge principle
M. Wakamatsu, Y. Kitadono, L. -P. Zou +1
According to Bliokh et al., allowing free propagation along the direction of a uniform magnetic field, the familiar Landau electron state can be regarded as a non-diffracting versi…
Role of guiding center in Landau level system and mechanical and pseudo orbital angular momenta
Yoshio Kitadono, Masashi Wakamatsu, Liping Zou +1
There is an interesting but not so popular quantity called pseudo orbital angular momentum (OAM) in the Landau-level system, besides the well-known canonical and mechanical OAMs. T…
Relativistic quantum-mechanical description of twisted paraxial electron and photon beams
Alexander J. Silenko, Pengming Zhang, Liping Zou
The analysis of twisted (vortex) paraxial photons and electrons is fulfilled in the framework of relativistic quantum mechanics. The use of the Foldy-Wouthuysen representation radi…
Electric quadrupole moment and the tensor magnetic polarizability of twisted electrons and a potential for their measurements
Alexander J. Silenko, Pengming Zhang, Liping Zou
For a twisted (vortex) Dirac particle in nonuniform electric and magnetic fields, the relativistic Foldy-Wouthuysen Hamiltonian is derived including high order terms describing new…
The role of electron orbital angular momentum in the Aharonov-Bohm effect revisited
Masashi Wakamatsu, Yoshio Kitadono, Liping Zou +1
This is a brief review on the theoretical interpretation of the Aharonov-Bohm effect, which also contains our new insight into the problem. A particular emphasis is put on the uniq…