Quartic anharmonic many-body oscillator
Alexander V. Turbiner
Abstract
Two quantum quartic anharmonic many-body oscillators are introduced. One of them is the celebrated Calogero model (rational An model) modified by quartic anharmonic two-body interactions which support the same symmetry as the Calogero model. Another model is the three-body Wolfes model (rational G2 model) with quartic anharmonic interaction added which has the same symmetry as the Wolfes model. Both models are studied in the framework of algebraic perturbation theory and by the variational method.
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