Spectra of Polarons in a Magnetic Field

  • J. T. Devreese
  • J. De Sitter
  • E. J. Johnson
  • K. L. Ngai
Part of the Nato Advanced Study Institutes Series book series (NSSB, volume 60)


In this first lecture we study the energy spectrum of Fröhlich polarons in a uniform magnetic field. In the first part (section 1.1 and section 1.2) the constants of the motion for a polaron in a uniform magnetic field are derived and compared with those of a free electron in a uniform magnetic field. The operators describing these constants of the motion satisfy the same algebra in both cases. This implies that the degeneracy of the eigenstates of the electron in a homogeneous magnetic field is not lifted by the Fröhlich interaction. In the second part of this lecture, I briefly review some calculations of the spectrum of a polaron in a magnetic field (section 1.3 and section 1.4).


Magnetic Field Cyclotron Resonance Landau Level Uniform Magnetic Field Landau Gauge 
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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • J. T. Devreese
    • 1
  • J. De Sitter
    • 2
  • E. J. Johnson
    • 3
  • K. L. Ngai
    • 4
  1. 1.University of Antwerpen (RUCA & UIA)AntwerpenBelgium
  2. 2.University of Antwerpen (RUCA)AntwerpenBelgium
  3. 3.GTE LaboratoriesWalthamUSA
  4. 4.Naval Research LaboratoryUSA

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