Within CPT-symmetric quantum mechanics the most elementary differential form of the "charge operator" C is assumed. A closed-form integrability of the related coupled differential self-consistency conditions and a natural embedding of the Hamiltonians in a supersymmetric scheme is achieved. For a particular choice of the interactions the rigorous mathematical consistency of the construction is scrutinized suggesting that quantum systems with non-self-adjoint Hamiltonians may admit probabilistic interpretation even in presence of a manifest breakdown of both T symmetry (i.e., Hermiticity) and PT symmetry. © 2004 Elsevier B.V. All rights reserved.
|Pages (from-to)||26 - 30|
|Number of pages||5|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - 31 Jan 2005|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Caliceti, E., Cannata, F., Znojil, M., & Ventura, A. (2005). Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry. Physics Letters, Section A: General, Atomic and Solid State Physics, 335(1), 26 - 30. https://doi.org/10.1016/j.physleta.2004.12.004