PT symmetry as a necessary and sufficient condition for unitary time evolution
Dec, 200915 pages
Published in:
- Phil.Trans.Roy.Soc.Lond.A 371 (2013) 20120060
e-Print:
- 0912.2635 [hep-th]
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Abstract: (Royal Society)
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 




Note:
- Latex, 34 pages. Extended and updated final version. To appear in a theme issue of Philosophical Transactions A of the Royal Society on PT quantum mechanics
- PT symmetry
- unitarity
- non-Hermitian Hamiltonians
- Jordan-block Hamiltonians
- unitarity
- time dependence
- parity
- time reversal
- Hamiltonian formalism
- Hilbert space
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