uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Relation between discrete Frenet frames and the bi- Hamiltonian structure of the discrete nonlinear Schrödinger equation
Aristotle Univ Thessaloniki, Sch Engn, Fac Civil Engn, Thessaloniki 54249, Greece..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Stockholm Univ, Nordita, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.;Far Eastern Fed Univ, Sch Biomed, Phys Living Matter, Vladivostok 690950, Russia.;Beijing Inst Technol, Dept Phys, Beijing 100081, Peoples R China..
2017 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 95, no 8, article id 085003Article in journal (Refereed) Published
Abstract [en]

The discrete Frenet equation entails a local framing of a discrete, piecewise linear polygonal chain in terms of its bond and torsion angles. In particular, the tangent vector of a segment is akin to the classical O(3) spin variable. Thus there is a relation to the lattice Heisenberg model that can be used to model physical properties of the chain. On the other hand, the Heisenberg model is closely related to the discrete nonlinear Schrodinger equation. Here we apply these interrelations to develop a perspective on discrete chains dynamics: We employ the properties of a discrete chain in terms of a spinorial representation of the discrete Frenet equation, to introduce a bi-Hamiltonian structure for the discrete nonlinear Schrodinger equation, which we then use to produce integrable chain dynamics.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2017. Vol. 95, no 8, article id 085003
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-333415DOI: 10.1103/PhysRevD.95.085003ISI: 000406742300009OAI: oai:DiVA.org:uu-333415DiVA, id: diva2:1156778
Funder
EU, FP7, Seventh Framework Programme, IRSES-606096Available from: 2017-11-14 Created: 2017-11-14 Last updated: 2017-11-29Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records BETA

Niemi, A

Search in DiVA

By author/editor
Niemi, A
By organisation
Theoretical Physics
In the same journal
Physical Review D: covering particles, fields, gravitation, and cosmology
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 65 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf