Abstract:
It is proved that the subspaces corresponding to bounded, isolated parts of the spectrum of (periodic and nonperiodic) one-dimensional Schrödinger operators admit bases of exponentially localised functions (generalised Wannier functions).
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Received: 17 February 1997 / Accepted: 15 April 1997
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Nenciu, A., Nenciu, G. The Existence of Generalised Wannier Functions for One-Dimensional Systems . Comm Math Phys 190, 541–548 (1998). https://doi.org/10.1007/s002200050251
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DOI: https://doi.org/10.1007/s002200050251