%0 Journal Article %T A single mode realization of SU(1,1) %A Vladimir L. Safonov %J Physics %D 2001 %I arXiv %X A single mode realization of SU(1,1) algebra is proposed. This realization makes it possible to reduce the problem of two nonlinear interacting oscillators to the problem of free moving particle. %U http://arxiv.org/abs/quant-ph/0102126v1