Quantum F-un: the q=1 limit of Galois field quantum mechanics, projective geometry and the field with one element
| dc.contributor.author | Chang, Lay Nam | en |
| dc.contributor.author | Lewis, Zachary | en |
| dc.contributor.author | Minic, Djordje | en |
| dc.contributor.author | Takeuchi, Tatsu | en |
| dc.contributor.department | Physics | en |
| dc.date.accessioned | 2016-10-18T17:56:44Z | en |
| dc.date.available | 2016-10-18T17:56:44Z | en |
| dc.date.issued | 2014-10-10 | en |
| dc.description.abstract | We argue that the q = 1 limit of Galois Field Quantum Mechanics, which was constructed on a vector space over the Galois Field Fq = GF(q), corresponds to its ‘classical limit,’ where superposition of states is disallowed. The limit preserves the projective geometry nature of the state space, and can be understood as being constructed on an appropriately defined analogue of a ‘vector’ space over the ‘field with one element’ F1. | en |
| dc.description.version | Published version | en |
| dc.format.extent | ? - ? (15) page(s) | en |
| dc.identifier.doi | https://doi.org/10.1088/1751-8113/47/40/405304 | en |
| dc.identifier.issn | 1751-8113 | en |
| dc.identifier.issue | 40 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/73242 | en |
| dc.identifier.volume | 47 | en |
| dc.language | English | en |
| dc.publisher | IOP | en |
| dc.relation.uri | http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000343240400014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1 | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | Physics, Multidisciplinary | en |
| dc.subject | Physics, Mathematical | en |
| dc.subject | Physics | en |
| dc.subject | field with one element | en |
| dc.subject | quantum mechanics | en |
| dc.subject | classical mechanics | en |
| dc.subject | projective geometry | en |
| dc.subject | Galois field | en |
| dc.subject | QUASI-CLASSICAL THEORY | en |
| dc.subject | VON-NEUMANN WAVES | en |
| dc.subject | ZETA-FUNCTIONS | en |
| dc.subject | OPERATOR METHODS | en |
| dc.subject | SYSTEMS | en |
| dc.subject | F-1 | en |
| dc.subject | DECOHERENCE | en |
| dc.subject | FORMULATION | en |
| dc.subject | ELECTRON | en |
| dc.title | Quantum F-un: the q=1 limit of Galois field quantum mechanics, projective geometry and the field with one element | en |
| dc.title.serial | Journal of Physics A-Mathematical And Theoretical | en |
| dc.type | Article - Refereed | en |
| pubs.organisational-group | /Virginia Tech | en |
| pubs.organisational-group | /Virginia Tech/All T&R Faculty | en |
| pubs.organisational-group | /Virginia Tech/Science | en |
| pubs.organisational-group | /Virginia Tech/Science/COS T&R Faculty | en |
| pubs.organisational-group | /Virginia Tech/Science/Physics | en |