Abstract
The Bloch-type functions for linear harmonic oscillators introduced recently by Krivoshlykov et al. (1977) are shown to be identical to the kq representation functions of Zak (1972). As a by-product of this analysis an interesting linear partial differential equation is obtained for Jacobi's theta 3 function with certain periodic boundary conditions. Finally the authors point out briefly the relation between the so called coherent angular momentum states and kq-type representations.
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