Maximal couplings in PT-symmetric chain-models with the real spectrum of energies

dc.creatorZnojil, Miloslav
dc.date2007-03-23
dc.date.accessioned2026-07-07T07:57:06Z
dc.date.available2026-07-07T07:57:06Z
dc.descriptionThe domain ${\cal D}$ of all the coupling strengths compatible with the reality of the energies is studied for a family of non-Hermitian $N$ by $N$ matrix Hamiltonians $H^{(N)}$ with tridiagonal and ${\cal PT}-$symmetric structure. At all dimensions $N$, the coordinates are found of the extremal points at which the boundary hypersurface $\partial {\cal D}$ touches the circumscribed sphere (for odd $N=2M+1$) or ellipsoid (for even $N=2K$).
dc.description18 pp., 2 figs
dc.identifierhttps://arxiv.org/abs/math-ph/0703070
dc.identifierhttp://arxiv.org/abs/math-ph/0703070
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) 4863-4875
dc.identifierdoi:10.1088/1751-8113/40/18/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127557
dc.subjectMathematical Physics
dc.subject81Q10; 13P10; 14J81; 14M12; 46C20; 47B50
dc.titleMaximal couplings in PT-symmetric chain-models with the real spectrum of energies
dc.typetext

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