Complex tridiagonal quantum Hamiltonians and matrix continued fractions

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/62690094:18470/25:50022431

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Complex tridiagonal quantum Hamiltonians and matrix continued fractions

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Complex tridiagonal quantum Hamiltonians and matrix continued fractions

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physics Letters. A

ISSN

0375-9601

e-ISSN

1873-2429

Svazek periodika

551

Číslo periodika v rámci svazku

August

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

6

Strana od-do

130604

Kód UT WoS článku

001490461400002

EID výsledku v databázi Scopus

2-s2.0-105004423548