Chaos and Momentum Diffusion of the Classical and Quantum Kicked Rotor Page: 78
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unity. Quantum resonance occurs when the scaled Planck's constant k is equal to an integer times
47t in both approaches and the momentum diffusion depends on the control parameter K.
Using the standard approach to quantum mechanics for nonresonance, it is found from the
numerical simulation that both plane wave and Gaussian distribution of the initial momentum states
gives a momentum diffusion that saturates. This result is in agreement with the atom optics kicked
rotor experimental results .
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Zheng, Yindong. Chaos and Momentum Diffusion of the Classical and Quantum Kicked Rotor, dissertation, August 2005; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc4824/m1/95/: accessed June 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .