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The kicked rotator, also spelled as kicked rotor, is a paradigmatic model for both Hamiltonian chaos and quantum chaos. It describes a free rotating stick in an inhomogeneous "gravitation like" field that is periodically switched on in short pulses. The model is described by the Hamiltonian

where θ ∈ , p {\displaystyle p} is the conjugated momentum of θ {\displaystyle \theta } , K {\displaystyle \textstyle K} is the kicking strength, T {\displaystyle T} is the kicking period and δ {\displaystyle \textstyle \delta } is the Dirac delta function.

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