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arxiv: 0707.3075 · v3 · submitted 2007-07-20 · 🪐 quant-ph

Metric Operators for Quasi-Hermitian Hamiltonians and Symmetries of Equivalent Hermitian Hamiltonians

classification 🪐 quant-ph
keywords quasi-hermitianequivalenthamiltonianhamiltonianshermitianmetricoperatorsassociated
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We give a simple proof of the fact that every diagonalizable operator that has a real spectrum is quasi-Hermitian and show how the metric operators associated with a quasi-Hermitian Hamiltonian are related to the symmetry generators of an equivalent Hermitian Hamiltonian.

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