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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 3, Pages 450–461 (Mi tmf1610)  
This article is cited in 2 scientific papers (total in 2 papers)

Quantization of planar ferromagnets in the Chern–Simons representation

L. Martinaa, O. K. Pashaevb, G. Soliania

a Lecce University
b Joint Institute for Nuclear Research
Full-text PDF (1172 kB) Citations (2)
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Abstract: We formulate the two-dimensional planar classical continuous Heisenberg spin model as a constrained Chern–Simons gauged nonlinear Schrödinger system. Several physical consequences in the framework of the anyon field theory are discussed. We study the hamiltonian structure of the model, which is quantized using the gauge invariant approach. A preliminary study of the quantum states is presented.
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 3, Pages 718–725
DOI: https://doi.org/10.1007/BF01017058
Bibliographic databases:
Language: Russian
Citation: L. Martina, O. K. Pashaev, G. Soliani, “Quantization of planar ferromagnets in the Chern–Simons representation”, TMF, 99:3 (1994), 450–461; Theoret. and Math. Phys., 99:3 (1994), 718–725
Citation in format AMSBIB
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\by L.~Martina, O.~K.~Pashaev, G.~Soliani
\paper Quantization of planar ferromagnets in the Chern--Simons representation
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\pages 450--461
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\zmath{https://zbmath.org/?q=an:0850.35111}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 3
\pages 718--725
\crossref{https://doi.org/10.1007/BF01017058}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PW12900014}
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  • https://www.mathnet.ru/eng/tmf1610
  • https://www.mathnet.ru/eng/tmf/v99/i3/p450
    • This publication is cited in the following 2 articles:
    1. Benjamin Dodson, Paul Smith, “A controlling norm for energy-critical Schrödinger maps”, Trans. Amer. Math. Soc., 367:10 (2015), 7193  crossref
    2. Paul Smith, “An unconstrained Lagrangian formulation and conservation laws for the Schrödinger map system”, Journal of Mathematical Physics, 55:5 (2014)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :104
    References:51
    First page:1
     
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