Аннотация:
For the three-frequency quantum resonance oscillator, the reducible case,
where the frequencies are integer and at least one pair of frequencies has
a nontrivial common divisor, is studied.
It is shown how the description of the algebra of symmetries
of such an oscillator can be reduced to the irreducible case
of pairwise coprime integer frequencies.
Polynomial algebraic relations are written,
and irreducible representations and coherent states are constructed.
Ключевые слова:frequency resonance, algebra of symmetries, nonlinear commutation relations, coherent
states.
Список цитирования
