RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 TMF: Year: Volume: Issue: Page: Find

 TMF, 1999, Volume 118, Number 3, Pages 423–433 (Mi tmf715)

Construction of a new class of quantum integrable inhomogeneous models

A. Kundu

Saha Institute of Nuclear Physics

Abstract: Integrable inhomogeneous or impurity models are usually constructed by either shifting the spectral parameter in the Lax operator or using another representation of the spin algebra. We propose a more involved general method for such construction in which the Lax operator contains generators of a novel quadratic algebra, a generalization of the known quantum algebra. In forming the monodromy matrix, we can replace any number of the local Lax operators with different realizations of the underlying algebra, which can result in spin chains with nonspin impurities causing changed coupling across the impurity sites, as well as with impurities in the form of bosonic operators. Following the same idea, we can also generate integrable inhomogeneous versions of the generalized lattice sine-Gordon model, nonlinear Schrödinger equation, Liouville model, relativistic and nonrelativistic Toda chains, etc.

DOI: https://doi.org/10.4213/tmf715

Full text: PDF file (211 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1999, 118:3, 333–340

Bibliographic databases:

Citation: A. Kundu, “Construction of a new class of quantum integrable inhomogeneous models”, TMF, 118:3 (1999), 423–433; Theoret. and Math. Phys., 118:3 (1999), 333–340

Citation in format AMSBIB
\Bibitem{Kun99} \by A.~Kundu \paper Construction of a new class of quantum integrable inhomogeneous models \jour TMF \yr 1999 \vol 118 \issue 3 \pages 423--433 \mathnet{http://mi.mathnet.ru/tmf715} \crossref{https://doi.org/10.4213/tmf715} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1713733} \zmath{https://zbmath.org/?q=an:0957.82012} \transl \jour Theoret. and Math. Phys. \yr 1999 \vol 118 \issue 3 \pages 333--340 \crossref{https://doi.org/10.1007/BF02557330} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000080492800013} 

• http://mi.mathnet.ru/eng/tmf715
• https://doi.org/10.4213/tmf715
• http://mi.mathnet.ru/eng/tmf/v118/i3/p423

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Kundu, A, “Generation of new classes of integrable quantum and statistical models”, Physica A-Statistical Mechanics and Its Applications, 318:1–2 (2003), 144
2. Kundu, A, “Unifying quantization for inhomogeneous integrable models”, Physics Letters B, 633:4–5 (2006), 657
•  Number of views: This page: 188 Full text: 103 References: 30 First page: 1