Abstract
Compact quantum systems have underlying compact kinematical Lie algebras, in contrast to familiar noncompact quantum systems built on the Weyl-Heisenberg algebra. Pauli asked in the latter case: to what extent does knowledge of the probability distributions in coordinate and momentum space determine the state vector? The analogous question for compact quantum systems is raised, and some preliminary results are obtained.
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Bracken, A.J., Fawcett, R.J.B. Compact quantum systems and the Pauli data problem. Found Phys 23, 277–289 (1993). https://doi.org/10.1007/BF01883630
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DOI: https://doi.org/10.1007/BF01883630