Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 012, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.012 (Mi sigma993) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Quantum Pair of Pants

Slawomir Klimeka, Matt McBrideb, Sumedha Rathnayakea, Kaoru Sakaia

a Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, IN 46202, USA
b Department of Mathematics, University of Oklahoma, 601 Elm St., Norman, OK 73019, USA
Full-text PDF (397 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2015.012
Abstract: We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we determine the structure of the $C^*$-algebra generated by that operator. The algebra can be considered as the quantum pair of pants.
Keywords: quantum domains; $C^*$-algebras.
Received: October 24, 2014; in final form February 3, 2015; Published online February 10, 2015
Bibliographic databases:
Document Type: Article
MSC: 46L35
Language: English
Citation: Slawomir Klimek, Matt McBride, Sumedha Rathnayake, Kaoru Sakai, “The Quantum Pair of Pants”, SIGMA, 11 (2015), 012, 22 pp.
Citation in format AMSBIB
\Bibitem{KliMcbRat15}
\by Slawomir~Klimek, Matt~McBride, Sumedha~Rathnayake, Kaoru~Sakai
\paper The Quantum Pair of Pants
\jour SIGMA
\yr 2015
\vol 11
\papernumber 012
\totalpages 22
\mathnet{http://mi.mathnet.ru/sigma993}
\crossref{https://doi.org/10.3842/SIGMA.2015.012}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3313688}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350560700001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922570177}
Linking options:
  • https://www.mathnet.ru/eng/sigma993
  • https://www.mathnet.ru/eng/sigma/v11/p12
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:198
    Full-text PDF :39
    References:44
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024