Abstract:
A new functional representation for the Hubbard model is obtained.
It uses a construction of “generalized coherent states with
respect to the supergroup”. A way is proposed for constructing
the generators of superalgebras that can be realized in problems
requiring allowance to be made for strong Coulomb interaction. The
physical meaning of the amplitude of the supercoordinate as the
mass of the particles in the fermion sector is discussed.
Citation:
V. M. Zharkov, “New functional representation in superspace for the Hubbard model”, TMF, 60:3 (1984), 404–412; Theoret. and Math. Phys., 60:3 (1984), 902–907
\Bibitem{Zha84}
\by V.~M.~Zharkov
\paper New functional representation in superspace for the Hubbard model
\jour TMF
\yr 1984
\vol 60
\issue 3
\pages 404--412
\mathnet{http://mi.mathnet.ru/tmf5354}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=768168}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 60
\issue 3
\pages 902--907
\crossref{https://doi.org/10.1007/BF01017892}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984AEF5000007}
Linking options:
https://www.mathnet.ru/eng/tmf5354
https://www.mathnet.ru/eng/tmf/v60/i3/p404
This publication is cited in the following 9 articles:
V. M. Zharkov, “The functional integral in the Hubbard model”, Theoret. and Math. Phys., 172:3 (2012), 1300–1314
Zharkov V., “Description of Conductivity Steps in Polymer and Other Materials by Functions of P-Adic Argument”, Physica Status Solidi C: Current Topics in Solid State Physics, Vol 9, No 5, Physica Status Solidi C-Current Topics in Solid State Physics, 9, no. 5, ed. Swietlik R., Wiley-V C H Verlag Gmbh, 2012, 1219–1221
V. M. Zharkov, V. S. Kirchanov, “Supergroup approach to the Hubbard model”, Theoret. and Math. Phys., 166:2 (2011), 210–223
Kirchanov V.S., Zharkov V.M., “Effective Functional for the Supercoherent State of Spinless Algebra in the Hubbard Model”, Russian Physics Journal, 54:6 (2011), 658–667
Citation in format AMSBIB
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