Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT-symmetry

Details Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT-symmetry Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT-symmetry

2004-06-15

arxiv.org/abs/math-ph/0406031v2

Phys.Lett.A335:26-30,2005

Physics

Mathematical Physics

13 pages

Scientific paper

10.1016/j.physleta.2004.12.004

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.

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