Symmetry and Conservation Laws in Semiclassical Wave Packet Dynamics

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Symmetry and Conservation Laws in Semiclassical Wave Packet Dynamics

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Title: Symmetry and Conservation Laws in Semiclassical Wave Packet Dynamics
Author(s):
Ohsawa, Tomoki (UT Dallas)
Item Type: Article
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Abstract: We formulate symmetries in semiclassical Gaussian wave packet dynamics and find the corresponding conserved quantities, particularly the semiclassical angular momentum, via Noether's theorem. We consider two slightly different formulations of Gaussian wave packet dynamics; one is based on earlier works of Heller and Hagedorn and the other based on the symplectic-geometric approach by Lubich and others. In either case, we reveal the symplectic and Hamiltonian nature of the dynamics and formulate natural symmetry group actions in the setting to derive the corresponding conserved quantities (momentum maps). The semiclassical angular momentum inherits the essential properties of the classical angular momentum as well as naturally corresponds to the quantum picture.
Publisher: American Institute of Physics Inc.
ISSN: 0022-2488
Persistent Link: http://hdl.handle.net/10735.1/4517
http://dx.doi.org/10.1063/1.4914338
Bibliographic Citation: Ohsawa, T. 2015. "Symmetry and conservation laws in semiclassical wave packet dynamics." Journal of Mathematical Physics 56(3): doi:10.1063/1.4914338.
Terms of Use: ©2015 AIP Publishing LLC.

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