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  • Riess J
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We investigate the possibility of superluminal propagation of massive
particles in high magnetic fields. Formal arguments suggest that
this could occur in the quantum Hall regime near zero temperature,
since here a few conducting states in the center of a broadened
Landau band carry a macroscopic Hall current. We investigate the
microscopic processes which lead to the high velocities of conducting
states in the quantum Hall effect and ask what are the highest possible
velocities which can be generated in that way. Our analysis shows
that in typical quantum Hall systems at the most a tiny fraction
of a carrier wave function can describe superluminal behaviour but
that the center of mass velocity is far below the velocity of light.
On the other hand, on pure theoretical grounds we can construct
special systems (with "exotic" parameters) where the Schrodinger
equation does admit solutions with superluminal center of mass velocities.
The described propagation has no analogy in classical physics. Einstein's
causality is not violated. The time evolution of the corresponding
wave function is similar to that of a recently observed superluminal
light pulse. We discuss analogies and differences between the two

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  • PUI: 35106668
  • ISSN: 02179792
  • SCOPUS: 2-s2.0-0037200470
  • SGR: 0037200470


  • J Riess

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