Abstract
We calculate the tensor of effective masses for the two-dimensional periodic Pauli operator. The explicit representation for this tensor is given in terms of the magnetic field. It is proved that the tensor of effective masses is circular symmetric and always proportional to the unit matrix. We also consider the generalized Pauli operator with a variable metric. In the appendix we study the periodic elliptic operators of the second order and discuss the behaviour of the first band function near its minimum point.
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© 1999 Springer Basel AG
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Birman, M.S., Suslina, T.A. (1999). Two-Dimensional Periodic Pauli Operator. The Effective Masses at the Lower Edge of the Spectrum. In: Dittrich, J., Exner, P., Tater, M. (eds) Mathematical Results in Quantum Mechanics. Operator Theory Advances and Applications, vol 108. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8745-8_2
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DOI: https://doi.org/10.1007/978-3-0348-8745-8_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9754-9
Online ISBN: 978-3-0348-8745-8
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