Quantum Lie systems and integrability conditions

Details Quantum Lie systems and integrability conditions Quantum Lie systems and integrability conditions

2009-08-16

arxiv.org/abs/0908.2235v1

Int. J. Geom. Meth. Mod. Phys. (IJGMMP) Volume 6, Issue 8, 1235-1252 (2009).

Physics

Mathematical Physics

Scientific paper

10.1142/S021988780900420X

The theory of Lie systems has recently been applied to Quantum Mechanics and additionally some integrability conditions for Lie systems of differential equations have also recently been analysed from a geometric perspective. In this paper we use both developments to obtain a geometric theory of integrability in Quantum Mechanics and we use it to provide a series of non-trivial integrable quantum mechanical models and to recover some known results from our unifying point of view.

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