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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 123, Pages 112–125 (Mi znsl4139)  
Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras

N. Yu. Reshetikhin
Full-text PDF (651 kB)
Abstract: She eigenvalues of transfermatrices are calculated for a class of quantum systems on the lattice with nearest-neighbour interaction. The Hamiltonians of these systems are invariant under the action of a classical Lie group.
Bibliographic databases:
Document Type: Article
UDC: 517.43 + 530.145
Language: Russian
Citation: N. Yu. Reshetikhin, “Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras”, Differential geometry, Lie groups and mechanics. Part V, Zap. Nauchn. Sem. LOMI, 123, "Nauka", Leningrad. Otdel., Leningrad, 1983, 112–125
Citation in format AMSBIB
\Bibitem{Res83}
\by N.~Yu.~Reshetikhin
\paper Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie~algebras
\inbook Differential geometry, Lie groups and mechanics. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 123
\pages 112--125
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4139}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697246}
\zmath{https://zbmath.org/?q=an:0525.58023}
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  • https://www.mathnet.ru/eng/znsl4139
  • https://www.mathnet.ru/eng/znsl/v123/p112
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