Abstract
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).
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Devreese, J.T., De Sitter, J., Johnson, E.J., Ngai, K.L. (1980). Spectra of Polarons in a Magnetic Field. In: Devreese, J.T. (eds) Theoretical Aspects and New Developments in Magneto-Optics. Nato Advanced Study Institutes Series, vol 60. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0454-6_9
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