A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models

Details A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models

2008-03-03

arxiv.org/abs/0803.0207v2

Phys. Lett. A 372 (2008) 5390-5393

Physics

Quantum Physics

9 pages, no figures; minor corrections, to appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2008.06.049

A generalized non-Hermitian oscillator Hamiltonian is proposed that consists
of additional linear terms which break PT-symmetry explicitly. The model is put
into an equivalent Hermitian form by means of a similarity transformation and
the criterion of N-fold supersymmetry with a position-dependent mass is shown
to reside in it.

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