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arXiv · 0802.3126

Quantum Systems on Linear Groups

J. J. Sławianowski
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Abstract

Discussed are quantized dynamical systems on orthogonal and affine groups. The special stress is laid on geodetic systems with affinely-invariant kinetic energy operators. The resulting formulas show that such models may be useful in nuclear and hadronic dynamics. They differ from traditional Bohr-Mottelson models where SL$(n,\mathbb{R})$ is used as a so-called non-invariance group. There is an interesting relationship between classical and quantized integrable lattices.

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J. J. Sławianowski. 2008-02-21. Quantum Systems on Linear Groups. https://doi.org/10.1007/s10773-005-8981-3

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