Twisted kinks, Dirac transparent systems, and Darboux transformations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F14%3A00441932" target="_blank" >RIV/61389005:_____/14:00441932 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.90.125003" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.90.125003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.90.125003" target="_blank" >10.1103/PhysRevD.90.125003</a>
Alternative languages
Result language
angličtina
Original language name
Twisted kinks, Dirac transparent systems, and Darboux transformations
Original language description
Darboux transformations are employed in construction and analysis of Dirac Hamiltonians with pseudoscalar potentials. By this method, we build a four-parameter class of reflectionless systems. Their potentials correspond to the composition of complex kinks, also known as twisted kinks, that play an important role in the 1 + 1 Gross-Neveu and Nambu-Jona-Lasinio field theories. The twisted kinks turn out to be multisolitonic solutions of the integrable Ablowitz-Kaup-Newell-Segur hierarchy. Consequently, all the spectral properties of the Dirac reflectionless systems are reflected in a nontrivial conserved quantity, which can be expressed in a simple way in terms of Darboux transformations. We show that the four-parameter pseudoscalar systems reduce to well-known models for specific choices of the parameters. An associated class of transparent nonrelativistic models described by a matrix Schrodinger Hamiltonian is studied and the rich algebraic structure of their integrals of motion is di
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
—
Volume of the periodical
90
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
—
UT code for WoS article
000349414400017
EID of the result in the Scopus database
—