Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model
arXiv:quant-ph/0703168 · doi:10.1016/j.physleta.2007.03.010
Abstract
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.
18 pages, 2 figures
References in corpus (5)
- Construction of a unique metric in quasi-Hermitian quantum mechanics: non-existence of the charge operator in a 2 x 2 matrix model
- A return to observability near exceptional points in a schematic PT-symmetric model
- Complex Lagrangians and phantom cosmology
- A Positive-Definite Scalar Product for Free Proca Particle
- Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357]
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- Classification of the conditionally observable spectra exhibiting central symmetry
- Conditional observability versus self-duality in a schematic model