Fragile PT-symmetry in a solvable model

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dc.creatorZnojil, Miloslav
dc.date2004-03-17
dc.date.accessioned2026-07-07T04:31:01Z
dc.date.available2026-07-07T04:31:01Z
dc.descriptionOne of the simplest pseudo-Hermitian models with real spectrum (viz., square-well on a real interval I of coordinates) is re-examined. A PT-symmetric complex deformation C of I is introduced and shown tractable via an innovated approach to matching conditions. The result is surprising: an arbitrarily small deformation I -> C implies a sudden collapse (i.e., the spontaneous PT-symmetry breaking) of virtually all the spectrum (i.e., up to its low-energy part).
dc.descriptionPrepared for presentation during VI-th Meeting of Math. Physicists (Czech. Phys. Soc.), March 19 - 20, 2004, Olomouc, Czech Republic
dc.identifierhttps://arxiv.org/abs/math-ph/0403033
dc.identifierhttp://arxiv.org/abs/math-ph/0403033
dc.identifierJ. Math. Phys. 45 (2004) 4418 - 4430
dc.identifierdoi:10.1063/1.1803928
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57673
dc.subjectMathematical Physics
dc.subject81Q05; 47B50
dc.titleFragile PT-symmetry in a solvable model
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