PT symmetry as a necessary and sufficient condition for unitary time evolution

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PT symmetry as a necessary and sufficient condition for unitary time evolution.

While Hermiticity of a time-independent Hamiltonian leads to unitary time evolution, in and of itself, the requirement of Hermiticity is only sufficient for unitary time evolution. In this paper, we provide conditions that are both necessary and sufficient. We show that PT symmetry of a time-independent Hamiltonian, or equivalently, reality of the secular equation that determines its eigenvalue...

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ژورنال

عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

سال: 2013

ISSN: 1364-503X,1471-2962

DOI: 10.1098/rsta.2012.0060