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- W2530331336 abstract "Carl Bender and collaborators have developed a quantum theory governed by Hamiltonians that are PT-symmetric rather than Hermitian. To implement this theory, the inner product was redefined to guarantee positive norms of eigenstates of the Hamiltonian. In the general case, which includes arbitrary time-dependence in the Hamiltonian, a modification of the Schrödinger equation is necessary as shown by Gong and Wang to conserve probability. In this paper, we derive the following selection rule: transitions induced by time dependence in a PT-symmetric Hamiltonian cannot occur between normalized states of differing PT-norm. We show three examples of this selection rule in action: two matrix models and one in the continuum." @default.
- W2530331336 created "2016-10-21" @default.
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- W2530331336 date "2017-08-01" @default.
- W2530331336 modified "2023-10-03" @default.
- W2530331336 title "A selection rule for transitions in PT-symmetric quantum theory" @default.
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- W2530331336 doi "https://doi.org/10.1063/1.4991032" @default.
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