Matrasulov D U, Milibaeva G M, Salomov U R, Sundaram Bala
Heat Physics Department of the Uzbek Academy of Sciences, 28 Katartal St., 700135 Tashkent, Uzbekistan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):016213. doi: 10.1103/PhysRevE.72.016213. Epub 2005 Jul 19.
Transport properties in the relativistic analog of the periodically kicked rotor are contrasted under classically and quantum mechanical dynamics. The quantum rotor is treated by solving the Dirac equation in the presence of the time-periodic delta-function potential resulting in a relativistic quantum mapping describing the evolution of the wave function. The transition from the quantum suppression behavior seen in the nonrelativistic limit to agreement between quantum and classical analyses in the relativistic regime is discussed. The absence of quantum resonances in the relativistic case is also addressed.
