Quartic anharmonic many-body oscillator

Details Quartic anharmonic many-body oscillator Quartic anharmonic many-body oscillator

2004-07-13

arxiv.org/abs/hep-th/0407100v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, 1 figure

Scientific paper

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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