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Resumming not summable perturbative series

2013
journal article
article
10.5506/APhysPolB.44.49
Journal
Acta Physica Polonica. B
Author
Ambroziński Zbigniew

Wosiek Jacek
Volume
44
Number
1
Pages
49-58
ISSN
0587-4254
eISSN
1509-5770
Language
English
Journal language
English
Abstract in English

In this paper, we present results of high precision computations for the ground energy of weakly coupled double well potential in quantum mechanics. We give a numerical evidence for cancelation of imaginary contributions to energy coming from Borel resummation and multi-instanton terms. We also estimate several higher coefficients of the multi-instanton expansion which are not given in the literature.

Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
Scopus© citations
1
cris.lastimport.wos2024-04-09T22:33:00Z
dc.abstract.enIn this paper, we present results of high precision computations for the ground energy of weakly coupled double well potential in quantum mechanics. We give a numerical evidence for cancelation of imaginary contributions to energy coming from Borel resummation and multi-instanton terms. We also estimate several higher coefficients of the multi-instanton expansion which are not given in the literature.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorAmbroziński, Zbigniew - 115188 pl
dc.contributor.authorWosiek, Jacek - 132740 pl
dc.date.accessioned2015-06-30T13:57:53Z
dc.date.available2015-06-30T13:57:53Z
dc.date.issued2013pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.admin[AB] Ambroziński, Zbigniewpl
dc.description.number1pl
dc.description.physical49-58pl
dc.description.publication1pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume44pl
dc.identifier.doi10.5506/APhysPolB.44.49pl
dc.identifier.eissn1509-5770pl
dc.identifier.issn0587-4254pl
dc.identifier.projectROD UJ / Ppl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/10795
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subtypeArticlepl
dc.titleResumming not summable perturbative seriespl
dc.title.journalActa Physica Polonica. Bpl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T22:33:00Z
dc.abstract.enpl
In this paper, we present results of high precision computations for the ground energy of weakly coupled double well potential in quantum mechanics. We give a numerical evidence for cancelation of imaginary contributions to energy coming from Borel resummation and multi-instanton terms. We also estimate several higher coefficients of the multi-instanton expansion which are not given in the literature.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Ambroziński, Zbigniew - 115188
dc.contributor.authorpl
Wosiek, Jacek - 132740
dc.date.accessioned
2015-06-30T13:57:53Z
dc.date.available
2015-06-30T13:57:53Z
dc.date.issuedpl
2013
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.adminpl
[AB] Ambroziński, Zbigniew
dc.description.numberpl
1
dc.description.physicalpl
49-58
dc.description.publicationpl
1
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
44
dc.identifier.doipl
10.5506/APhysPolB.44.49
dc.identifier.eissnpl
1509-5770
dc.identifier.issnpl
0587-4254
dc.identifier.projectpl
ROD UJ / P
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/10795
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subtypepl
Article
dc.titlepl
Resumming not summable perturbative series
dc.title.journalpl
Acta Physica Polonica. B
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Wosiek, Jacek
Ambroziński, Zbigniew

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