Quantum Particle on Dual Weight Lattice in Even Weyl Alcove

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00368506" target="_blank" >RIV/68407700:21340/23:00368506 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s10773-023-05296-x" target="_blank" >https://doi.org/10.1007/s10773-023-05296-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10773-023-05296-x" target="_blank" >10.1007/s10773-023-05296-x</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Quantum Particle on Dual Weight Lattice in Even Weyl Alcove

Popis výsledku v původním jazyce

Even subgroups of affine Weyl groups corresponding to irreducible crystallographic root systems characterize families of single-particle quantum systems. Induced by primary and secondary sign homomorphisms of the Weyl groups, free propagations of the quantum particle on the refined dual weight lattices inside the rescaled even Weyl alcoves are determined by Hamiltonians of tight-binding types. Described by even hopping functions, amplitudes of the particle's jumps to the lattice neighbours are together with diverse boundary conditions incorporated through even hopping operators into the resulting even dual-weight Hamiltonians. Expressing the eigenenergies via weighted sums of the even Weyl orbit functions, the associated time-independent Schrodinger equations are exactly solved by applying the discrete even Fourier-Weyl transforms. Matrices of the even Hamiltonians together with specifications of the complementary boundary conditions are detailed for the C-2 and G(2) even dual-weight models.

Název v anglickém jazyce

Quantum Particle on Dual Weight Lattice in Even Weyl Alcove

Popis výsledku anglicky

Even subgroups of affine Weyl groups corresponding to irreducible crystallographic root systems characterize families of single-particle quantum systems. Induced by primary and secondary sign homomorphisms of the Weyl groups, free propagations of the quantum particle on the refined dual weight lattices inside the rescaled even Weyl alcoves are determined by Hamiltonians of tight-binding types. Described by even hopping functions, amplitudes of the particle's jumps to the lattice neighbours are together with diverse boundary conditions incorporated through even hopping operators into the resulting even dual-weight Hamiltonians. Expressing the eigenenergies via weighted sums of the even Weyl orbit functions, the associated time-independent Schrodinger equations are exactly solved by applying the discrete even Fourier-Weyl transforms. Matrices of the even Hamiltonians together with specifications of the complementary boundary conditions are detailed for the C-2 and G(2) even dual-weight models.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA19-19535S" target="_blank" >GA19-19535S: Fourierovy metody speciálních funkcí afinních Weylových grup</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

International Journal of Theoretical Physics

ISSN

0020-7748

e-ISSN

1572-9575

Svazek periodika

62

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

31

Strana od-do

1-31

Kód UT WoS článku

000949355000001

EID výsledku v databázi Scopus

2-s2.0-85150719307