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We apply the quantization scheme introduced in [arXiv:1204.2870] to a particle on a circle. We find that the quantum action functional restricted to appropriate coherent states can be expressed as the...
Nearest Neighbor Distances on a Circle: Multidimensional Case
Multidimensional Case Mathematical Physics Dynamical Systems
2011/9/16
Abstract: We study the distances, called spacings, between pairs of neighboring energy levels for the quantum harmonic oscillator. Specifically, we consider all energy levels falling between E and E+1...
Integrated photonic 3D waveguide arrays for quantum random walks on a circle
Integrated 3D waveguide quantum random circle
2010/11/5
Quantum random walks (QRWs) can be used to perform both quantum simulations and quantum algorithms. In order to exploit this potential, quantum walks on different types of graphs must be physically im...
2002Vol.37No.5pp.557-560DOI:
Phase-Locking Dynamics in Coupled Circle-Map Lattices
ZHENG Zhi-Gang
Department of Physics, Beijing Normal University,
Beijing 100875, China...