Quantum Systems on Linear Groups

Details Quantum Systems on Linear Groups Quantum Systems on Linear Groups

2008-02-21

arxiv.org/abs/0802.3126v1

International Journal of Theoretical Physics, 44, no. 11, 2005, pp. 2029-2039

Physics

Mathematical Physics

Scientific paper

10.1007/s10773-005-8981-3

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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