Solvable non-Hermitian discrete square well with closed-form physical inner product

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F14%3A00436875" target="_blank" >RIV/61389005:_____/14:00436875 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1751-8113/47/43/435302" target="_blank" >http://dx.doi.org/10.1088/1751-8113/47/43/435302</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/47/43/435302" target="_blank" >10.1088/1751-8113/47/43/435302</a>

Result language
angličtina
Original language name
Solvable non-Hermitian discrete square well with closed-form physical inner product
Original language description
A new Hermitizable quantum model is proposed in which the bound-state energies are real and given as roots of an elementary trigonometric expression while the wave function components are expressed as superpositions of two Chebyshev polynomials. As an N-site lattice version of square well with complex Robin-type two-parametric boundary conditions the model is unitary with respect to the Hilbert space metric T which becomes equal to the most common Dirac's metric Theta((Dirac)) = I in the conventional textbook Hermitian-Hamiltonian limit. This metric is constructed in closed form at all N = 2, 3, ....
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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