Title: Rotational Symmetry of Classical Orbits and Angular Momentum Quantization
Speaker: Dr. J.-Q. Liang, Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi, China
Date: Wednesday, September 26, 2012 at 1:30 - 2:30 p.m.
Place: Physics Building, PIC Conference Room
We study the quantum-classical correspondence in terms of coherent wave functions of a charged particle in two-dimensional central-scalar-potentials as well as the gauge field of a magnetic flux in the sense that the probability clouds of wave functions are well localized on classical orbits. For both closed and open classical orbits, the non-integer angular-momentum quantization with the levelspace of angular momentum being greater or less than 1 is determined uniquely by the same rotational symmetry of classical orbits and probability clouds of coherent wave functions, which is not necessarily 2¼-periodic. The gauge potential of a magnetic flux impenetrable to the particle cannot change the quantization rule but is able to shift the spectrum of canonical angular momentum by a flux-dependent value, which results in a common topological phase for all wave functions in the given model.