DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hong, Kyungpyo | ko |
dc.contributor.author | Lee, Ho | ko |
dc.contributor.author | Lee, Hwa Jeong | ko |
dc.contributor.author | Oh, Seungsang | ko |
dc.date.accessioned | 2015-11-20T09:51:46Z | - |
dc.date.available | 2015-11-20T09:51:46Z | - |
dc.date.created | 2014-12-09 | - |
dc.date.created | 2014-12-09 | - |
dc.date.issued | 2014-10 | - |
dc.identifier.citation | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.47, no.43 | - |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.uri | http://hdl.handle.net/10203/201135 | - |
dc.description.abstract | Lomonaco and Kauffman introduced knot mosaic system to give a definition of quantum knot system. This definition is intended to represent an actual physical quantum system. A knot (m, n)-mosaic is an m x n matrix of mosaic tiles which are T-0 through T-10 depicted, representing a knot or a link by adjoining properly that is called suitably connected. An interesting question in studying mosaic theory is how many knot (m, n)-mosaics are there. D-m,D- (n) denotes the total number of all knot (m, n)-mosaics. This counting is very important because the total number of knot mosaics is indeed the dimension of the Hilbert space of these quantum knot mosaics. In this paper, we find a table of the precise values of D-m,D- n for 4 <= m <= n <= 6. Mainly we use a partition matrix argument which turns out to be remarkably efficient to count small knot mosaics. | - |
dc.language | English | - |
dc.publisher | IOP PUBLISHING LTD | - |
dc.subject | QUANTUM KNOTS | - |
dc.subject | POLYNOMIALS | - |
dc.title | Small knot mosaics and partition matrices | - |
dc.type | Article | - |
dc.identifier.wosid | 000344222400004 | - |
dc.identifier.scopusid | 2-s2.0-84908360021 | - |
dc.type.rims | ART | - |
dc.citation.volume | 47 | - |
dc.citation.issue | 43 | - |
dc.citation.publicationname | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
dc.identifier.doi | 10.1088/1751-8113/47/43/435201 | - |
dc.contributor.nonIdAuthor | Hong, Kyungpyo | - |
dc.contributor.nonIdAuthor | Oh, Seungsang | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | quantum physics | - |
dc.subject.keywordAuthor | quantum knot | - |
dc.subject.keywordAuthor | knot mosaic | - |
dc.subject.keywordAuthor | partition matrix | - |
dc.subject.keywordPlus | QUANTUM KNOTS | - |
dc.subject.keywordPlus | POLYNOMIALS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.