Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 112-125
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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.
@article{ZNSL_1983_123_a8,
author = {N. Yu. Reshetikhin},
title = {Exactly solvable quantum-meehanical systems on the lattices associated with the classical {Lie~algebras}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {112--125},
year = {1983},
volume = {123},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a8/}
}
TY - JOUR AU - N. Yu. Reshetikhin TI - Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras JO - Zapiski Nauchnykh Seminarov POMI PY - 1983 SP - 112 EP - 125 VL - 123 UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a8/ LA - ru ID - ZNSL_1983_123_a8 ER -
N. Yu. Reshetikhin. Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 112-125. http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a8/