Effective masses and conformal mappings

  • Erwin Schrödinger International, P. Kargaev E. Korotyaev
  • Published 1993

Abstract

Let Gn, n ∈ N, denote the set of gaps of the Hill operator. We solve the following problems : 1) find the effective masses M± n , 2) compare the effective mass M± n with the length of the gap Gn, and with the height of the corresponding slit on the quasimomentum plane (both with fixed number n and their sums) 3) consider the problems 1), 2) for more general… (More)

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