08-154 Asao Arai

Necessary and Sufficient Conditions for a Hamiltonian with Discrete Eigenvalues to Have Time Operators (207K, PDF) Aug 31, 08

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Abstract. We present new classes of time operators of a Hamiltonian $H$ (a self-adjoint operator) with discrete eigenvalues which may be degenerate. Moreover we formulate necessary and sufficient conditions for $H$ to have time operators, determining the general form of them. As corollaries, non-existence theorems of time operators for some classes of $H$ are derived.

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