Zero modes in a system of Aharonov–Bohm solenoids on the Lobachevsky plane

@article{Geyler2006ZeroMI,
  title={Zero modes in a system of Aharonov–Bohm solenoids on the Lobachevsky plane},
  author={V. Geyler and P. {\vS}ťov́ı{\vc}ek},
  journal={Journal of Physics A},
  year={2006},
  volume={39},
  pages={1375-1384}
}
  • V. Geyler, P. Šťov́ıček
  • Published 2006
  • Physics, Mathematics
  • Journal of Physics A
  • We consider a spin 1/2 charged particle on the Lobachevsky plane subjected to a magnetic field corresponding to a discrete system of Aharonov–Bohm solenoids. Let H+ and H− be the two components of the Pauli operator for spin-up and -down, respectively. We show that neither H+ nor H− has a zero mode if the number of solenoids is finite. On the other hand, a construction is described of an infinite periodic system of solenoids for which either H+ or H− has zero modes depending on the value of the… CONTINUE READING
    5 Citations
    On the harmonic oscillator on the Lobachevsky plane
    • 3
    • PDF
    Vladimir A. Geyler

    References

    SHOWING 1-10 OF 24 REFERENCES
    Zero modes in a periodic system of Aharonov-Bohm solenoids
    • 20
    ZERO MODES IN A SYSTEM OF AHARONOV–BOHM FLUXES
    • 15
    • PDF
    Properties of the Dirac-Weyl operator with a strongly singular gauge potential
    • 20
    • PDF
    Ground state of a spin-½ charged particle in a two-dimensional magnetic field
    • 242
    On the Landau Levels on the Hyperbolic Plane
    • 202