Complex tridiagonal quantum Hamiltonians and matrix continued fractions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00635505" target="_blank" >RIV/61389005:_____/25:00635505 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/25:50022431
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0375960125003846" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0375960125003846</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2025.130604" target="_blank" >10.1016/j.physleta.2025.130604</a>

Result language
angličtina
Original language name
Complex tridiagonal quantum Hamiltonians and matrix continued fractions
Original language description
uantum resonances described by non-Hermitian tridiagonal-matrix Hamiltonians with complex energy eigenvalues are considered. The possibility is analyzed of the evaluation of quantities known as the singular values of . What is constructed are self-adjoint block-tridiagonal operators H (with eigenvalues ) and their resolvents (defined in terms of a matrix continued fraction, MCF). In an illustrative application of the formalism to the discrete version of conventional =-2/2 + () with complex local () not equal *(), the numerical MCF convergence is found quick and, moreover, supported also by a fixed-point-based formal proof.
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
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

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

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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