The Pauli Objection

  title={The Pauli Objection},
  author={Juan Le{\'o}n and Lorenzo Maccone},
  journal={Foundations of Physics},
Schrödinger’s equation says that the Hamiltonian is the generator of time translations. This seems to imply that any reasonable definition of time operator must be conjugate to the Hamiltonian. Then both time and energy must have the same spectrum since conjugate operators are unitarily equivalent. Clearly this is not always true: normal Hamiltonians have lower bounded spectrum and often only have discrete eigenvalues, whereas we typically desire that time can take any real value. Pauli… 
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