Аннотация:
The algebra of symmetries of a quantum three-frequency hyperbolic resonance oscillator
is studied.
It is shown that this algebra is determined by a finite set of generators
with polynomial commutation relations.
The irreducible representations of this algebra and
the corresponding coherent states are constructed.
Ключевые слова:
frequency resonance, algebra of symmetries,
nonlinear commutation relations, coherent states.