dc.contributor.author | Miškinis, Paulius | |
dc.date.accessioned | 2023-09-18T20:23:31Z | |
dc.date.available | 2023-09-18T20:23:31Z | |
dc.date.issued | 2006 | |
dc.identifier.issn | 1648-8504 | |
dc.identifier.other | (BIS)LBT02-000020927 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/149579 | |
dc.description.abstract | In the case of the quantum generalization of Levy processes, expressions for the Hermitian operator of momentum and its eigenfunctions are proposed. The normalization constant has been determined and its relation to the translation operator is shown. The interrelation between the momentum and the wave number has been generalized for the processes with a non-integer dimensionality α. | eng |
dc.description.abstract | Kvantinio Levy (Levi) vyksmo atveju pasiūlyta ermitinio vienmačio judesio kiekio operatoriaus išraiška [formulė], rastos jo tikrinės funkcijos bei tikrinės vertės [formulė]. Išreikštu pavidalu rasta normavimo konstanta [formulė], kai α —> 1, ir poslinkio operatoriaus išraiška. Sąryšis tarp judesio kiekio ir banginio skaičiaus [formulė] apibendrintas vyksmams, turintiems trupmeninį Levy indeksą. | lit |
dc.format.extent | p. 295-300 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | PhysNet | |
dc.source.uri | http://www.itpa.lt/%7Elfd/Lfz/463/Ljp46304.pdf | |
dc.source.uri | http://www.itpa.lt/~lfd/Lfz/LFZ.html | |
dc.title | The one-dimensional fractional quantum operator of momentum | |
dc.title.alternative | Vienmatis trupmeninis kvantinis judesio kiekio operatorius | |
dc.type | Straipsnis kitoje DB / Article in other DB | |
dcterms.references | 18 | |
dc.type.pubtype | S3 - Straipsnis kitoje DB / Article in other DB | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 002 - Fizika / Physics | |
dc.subject.en | Lėvy processes | |
dc.subject.en | Quantum mechanics | |
dc.subject.en | Fractional calculus | |
dcterms.sourcetitle | Lithuanian journal of physics | |
dc.description.issue | no. 3 | |
dc.description.volume | Vol. 46 | |
dc.identifier.doi | VGT02-000014252 | |
dc.identifier.elaba | 5642237 | |