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arXiv · hep-th/0407100

Quartic anharmonic many-body oscillator

Alexander V. Turbiner
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Abstract

Two quantum quartic anharmonic many-body oscillators are introduced. One of them is the celebrated Calogero model (rational $A_n$ 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 $G_2$ 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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Alexander V. Turbiner. 2004-07-13. Quartic anharmonic many-body oscillator. https://doi.org/10.1142/9789812775344_0053

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