Quantum inner-product metrics via the recurrent solution of the Dieudonne equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F12%3A00384868" target="_blank" >RIV/61389005:_____/12:00384868 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1751-8113/45/8/085302" target="_blank" >http://dx.doi.org/10.1088/1751-8113/45/8/085302</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/45/8/085302" target="_blank" >10.1088/1751-8113/45/8/085302</a>

Result language
angličtina
Original language name
Quantum inner-product metrics via the recurrent solution of the Dieudonne equation
Original language description
A given Hamiltonian matrix H with a real spectrum is assumed tridiagonal and non-Hermitian, H not equal H-dagger. Its possible Hermitizations via an amended, ad hoc inner-product metric Theta = Theta(dagger) > 0 are studied. Under certain reasonable assumptions, all of these metrics Theta = Theta(H) are shown to be obtainable as recurrent solutions of the hidden Hermiticity constraint H-dagger Theta = Theta H called the Dieudonne equation. In this framework, even the two-parametric Jacobi-polynomial real and asymmetric N-site lattice H-(N) (mu, nu) is found to be exactly solvable at all N.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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