Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 112-125
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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/
@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 -
%0 Journal Article
%A N. Yu. Reshetikhin
%T Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 112-125
%V 123
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a8/
%G ru
%F ZNSL_1983_123_a8
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.
