BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Quantum-Mechanical Analysis of Electron Transport in a Cylindrical
  Crossed-Field Configuration with a Periodic Boundary Potential
DTSTART;VALUE=DATE-TIME:20260924T142000Z
DTEND;VALUE=DATE-TIME:20260924T144000Z
DTSTAMP;VALUE=DATE-TIME:20260914T043747Z
UID:indico-contribution-554@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Dmytro Kadygrob (O. Ya. Usikov Institute for Radio P
 hysics and Electronics of the National Academy of Sciences of Ukraine)\nTh
 is work presents a fully quantum-mechanical theoretical framework for desc
 ribing electron dynamics and collective phenomena in a cylindrical crossed
 -field configuration subject to a spatially periodic boundary potential. T
 he electron cloud is considered in orthogonal radial electric and axial ma
 gnetic fields. By solving the Schrödinger equation with the corresponding
  gauge potentials and an effective radial potential in cylindrical coordin
 ates\, we obtain the quantized energy spectrum and spatial structure of th
 e electron states.\n    In the unperturbed state\, the quantum-mechanical 
 analysis shows that the radial current vanishes. Electron transport toward
  the boundary is therefore described as a quantum process associated with 
 transitions between discrete angular-momentum states induced by a spatiall
 y inhomogeneous high-frequency field. The periodic boundary potential coup
 les states with different angular momenta and provides a mechanism for pha
 se locking and coherent energy transfer between the electron cloud and the
  electromagnetic field.\n    A key result of the work is the identificatio
 n of a mathematical correspondence between the formation of azimuthal spac
 e-charge structures\, commonly referred to as spokes\, and the collective 
 phenomena described by the Landau theory of second-order phase transitions
  and the Ginzburg–Landau theory. The emergence of rotating electron bunc
 hes is interpreted as a spontaneous symmetry-breaking process\, while the 
 spokes are described as stable\, spatially coherent structures of a comple
 x order parameter.\n    The proposed framework establishes a connection be
 tween microscopic quantum electron dynamics and macroscopic order-paramete
 r theory\, providing a unified description of electron transport\, collect
 ive self-organization\, phase coherence\, and nonlinear evolution of azimu
 thal space-charge structures in cylindrical crossed-field configurations.\
 n\nhttps://indico.bitp.kiev.ua/event/18/contributions/554/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/554/
END:VEVENT
END:VCALENDAR