Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model

Details Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model

2007-03-19

arxiv.org/abs/quant-ph/0703168v1

Physics Letters A 367 (2007) 300-306

Physics

Quantum Physics

18 pages, 2 figures

Scientific paper

10.1016/j.physleta.2007.03.010

Many manifestly non-Hermitian Hamiltonians (typically, PT-symmetric complex anharmonic oscillators) possess a strictly real, "physical" bound-state spectrum. This means that they are (quasi-)Hermitian with respect to a suitable non-standard metric. The domain D of the existence of this metric is studied here for a nontrivial though still non-numerical four-parametric "benchmark" matrix model.

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