Discrete PT-symmetric square-well oscillators

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dc.creatorZnojil, Miloslav
dc.date2005-11-11
dc.date.accessioned2026-07-07T06:52:44Z
dc.date.available2026-07-07T06:52:44Z
dc.descriptionExact solvability of the discretized N-point version of the PT-symmetric square-well model is pointed out. Its wave functions are found proportional to the classical Tshebyshev polynomials of a complex argument. At all N a compact secular equation is derived giving the real spectrum of energies at any non-Hermiticity strength Z below its finite and weakly N-dependent critical value. In the limit of vanishing Z the model degenerates to a Hermitian Hueckel Hamiltonian.
dc.description12 pp
dc.identifierhttps://arxiv.org/abs/quant-ph/0511110
dc.identifierhttp://arxiv.org/abs/quant-ph/0511110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105394
dc.subjectQuantum Physics
dc.titleDiscrete PT-symmetric square-well oscillators
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