Abstract:
It is shown on the example of the generalized Toda chain in two-dimensional space
that semisimple algebras of a classical problem turn in the quantum region into associative
Hopf algebras described in Drinfeld's paper as quantum algebras. In terms of
quantum algebras the Heisenberg operators of interacting field as functions of the in-fields
are expressed by the classical theory formulas and the expressions for them obtained
earlier get a simple algebraical meaning.
Fulltext:
PDF file (813 kB)
