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TMF, 1994, Volume 99, Number 3, Pages 450–461 (Mi tmf1610)  

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

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.

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English version:
Theoretical and Mathematical Physics, 1994, 99:3, 718–725

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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
\jour TMF
\yr 1994
\vol 99
\issue 3
\pages 450--461
\mathnet{http://mi.mathnet.ru/tmf1610}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1308811}
\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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1994PW12900014}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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