- 08-154 Asao Arai
- Necessary and Sufficient Conditions for a Hamiltonian with Discrete Eigenvalues to Have
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.
non-existence theorems of time operators for some classes of $H$ are derived.