Higher order quantum waves in fractal dimensions from nonlocal complex derivative operator

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F24%3A00616586" target="_blank" >RIV/60077344:_____/24:00616586 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1139/cjp-2024-0005" target="_blank" >https://doi.org/10.1139/cjp-2024-0005</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1139/cjp-2024-0005" target="_blank" >10.1139/cjp-2024-0005</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Higher order quantum waves in fractal dimensions from nonlocal complex derivative operator

Popis výsledku v původním jazyce

In this study, we introduced a new nonlocal complex derivative operator in fractal dimension based concurrently on the concept of 'nonlocal generalized complex backwardforward coordinates' and the 'productlike fractal measure'. The quantization of the theory in fractal dimension leads to a higher order Schrodinger equation characterized by a higher order energy operator. As an illustration, we have discussed the cases of infinite quantum well and powerlaw potentials. Their associated zeropoint energies were found to depend on the numerical value of the fractal dimension. For the infinite well, the decrease in zeropoint energy with fractal dimension may result in the emission of large wavelengths photons observed experimentally in X-ray laser bursts emitted from the solid.

Název v anglickém jazyce

Higher order quantum waves in fractal dimensions from nonlocal complex derivative operator

Popis výsledku anglicky

In this study, we introduced a new nonlocal complex derivative operator in fractal dimension based concurrently on the concept of 'nonlocal generalized complex backwardforward coordinates' and the 'productlike fractal measure'. The quantization of the theory in fractal dimension leads to a higher order Schrodinger equation characterized by a higher order energy operator. As an illustration, we have discussed the cases of infinite quantum well and powerlaw potentials. Their associated zeropoint energies were found to depend on the numerical value of the fractal dimension. For the infinite well, the decrease in zeropoint energy with fractal dimension may result in the emission of large wavelengths photons observed experimentally in X-ray laser bursts emitted from the solid.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Canadian Journal of Physics

ISSN

0008-4204

e-ISSN

1208-6045

Svazek periodika

102

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

CA - Kanada

Počet stran výsledku

17

Strana od-do

375-391

Kód UT WoS článku

001224794000001

EID výsledku v databázi Scopus

2-s2.0-85198390127