Abstract
We give an alternate proof of the fact that a function generating a basis of coherent states must have an infinitely long tail in either position space or momentum space. Our argument is a very natural one in which the Heisenberg Uncertainty Principle enters directly.
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Supported in part by the National Science Foundation under Grant No. DMS 8603795.
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Battle, G. Heisenberg proof of the Balian-Low theorem. Letters in Mathematical Physics 15, 175–177 (1988). https://doi.org/10.1007/BF00397840
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DOI: https://doi.org/10.1007/BF00397840