Quantum Systems on Linear Groups

Author: Sławianowski J  

Publisher: Springer Publishing Company

ISSN: 0020-7748

Source: International Journal of Theoretical Physics, Vol.44, Iss.11, 2005-11, pp. : 2029-2039

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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,ℜ) is used as a so-called non-invariance group. There is an interesting relationship between classical and quantized integrable lattices.