Zig-zag-matrix algebras and solvable quasi-Hermitian quantum models

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00574841" target="_blank" >RIV/61389005:_____/23:00574841 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/23:50020907
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ace8d5" target="_blank" >https://doi.org/10.1088/1751-8121/ace8d5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ace8d5" target="_blank" >10.1088/1751-8121/ace8d5</a>

Result language
angličtina
Original language name
Zig-zag-matrix algebras and solvable quasi-Hermitian quantum models
Original language description
In quantum mechanics of unitary systems using non-Hermitian (or, more precisely, Theta-quasi-Hermitian) Hamiltonians H such that H(SIC) Theta = Theta H, the exactly solvable M-level bound-state models with arbitrary M <=infinity are rare. A new class of such models is proposed here, therefore. Its exact algebraic solvability (involving not only the closed formulae for wave functions but also the explicit description of all of the eligible metrics Theta) was achieved due to an extremely sparse (viz., just (2M-1)- parametric) but still nontrivial 'zig-zag-matrix' choice of the form of H.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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